Analysis on measure chains - a unified approach to continuous and discrete calculus

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DOI10.1007/BF03323153zbMath0722.39001MaRDI QIDQ756025

Stefan Hilger

Publication date: 1990

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

measure chain dynamical equations discrete calculus linearly ordered set difference calculus differentiation and the difference calculus

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Additive difference equations (39A10) Ordered topological structures (06F30)

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\(m\)-point integral boundary value problems for second-order \(p\)-Laplacian dynamic equations on time scales, On some approximate solutions of nonlinear integrodifferential equation on time scales, On Sumudu transform method in discrete fractional calculus, Positive solutions for eigenvalue problems on a measure chain, Positive solutions of second-order half-linear dynamic equations on time scales, Multiple periodic solutions for a second-order problem on periodic time scales, Curves of positive solutions of boundary value problems on time-scales, Positive solutions for nonlinear three-point boundary value problems on time scales, Atkinson's super-linear oscillation theorem for matrix dynamic equations on a time scale, Initial value problem for first-order integro-differential equation of Volterra type on time scales, Nagumo type existence results for second-order nonlinear dynamic BVPs, Stability criteria for set dynamic equations on time scales, Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems on Sturmian time scales, Oscillation of third order functional dynamic equations with mixed arguments on time scales, The existence of solutions for dynamic inclusions on time scales via duality, Oscillation and nonoscillation criteria for nonlinear dynamic systems on time scales, Some Opial dynamic inequalities involving higher order derivatives on time scales, Interval oscillation criteria of second-order nonlinear dynamic equations on time scales, Oscillation results for fourth-order nonlinear dynamic equations, Oscillation of second-order strongly superlinear and strongly sublinear dynamic equations, Periodic solution of a neutral delay model of single-species population growth on time scales, New oscillation criteria for second-order neutral functional dynamic equations via the generalized Riccati substitution, Existence of quasibounded solutions for the higher order dynamic equations on measure chains, Hamilton-Jacobi-Bellman equations on time scales, Nonlinear oscillation of second-order dynamic equations on time scales, Wiman's formula for a second order dynamic equation, Existence of the nonoscillatory solutions of higher order neutral dynamic equations on time scales, Affine-periodic solutions for nonlinear dynamic equations on time scales, Curvature of curves parameterized by a time scale, Positive solutions to nonlinear first-order impulsive dynamic equations on time scales, Exponential dichotomy on time scales and admissibility of the pair \((\mathrm{C}_{\mathrm{rd}}^{b}(\mathbb{T}^{+}, X),L^{p}(\mathbb{T}^{+},X))\), Positive solutions to PBVPs for nonlinear first-order impulsive dynamic equations on time scales, Oscillation criteria for certain second-order Emden-Fowler delay functional dynamic equations with damping on time scales, Principal solutions at infinity for time scale symplectic systems without controllability condition, Permanence of an \(N\)-species cooperation system with time delays and feedback controls on time scales, The diamond integral on time scales, Existence of positive solutions for systems of second order multi-point boundary value problems on time scales, Oscillation theorems for second-order half-linear advanced dynamic equations on time scales, Unique existence theorem of solution of almost periodic differential equations on time scales, Measure functional differential equations and functional dynamic equations on time scales, Linear feedback of mean-field stochastic linear quadratic optimal control problems on time scales, New Kamenev-type oscillation criteria for second-order differential equations on a measure chain, Oscillation criteria for nonlinear perturbed dynamic equations of second-order on time scales, Some reverse inequalities of Hardy type on time scales, Some new Hardy-type inequalities on time scales, On expansion in eigenfunction for Dirac systems on the unbounded time scales, Existence of nonoscillatory solutions to nonlinear higher-order neutral dynamic equations, Neutral functional sequential differential equations with Caputo fractional derivative on time scales, Determining the initial data generating solutions with prescribed behaviour of a triangular system of linear discrete equations, Nonoscillatory solutions to fourth-order neutral dynamic equations on time scales, Besicovitch almost periodic solutions to stochastic dynamic equations with delays, On a system of second-order multi-point boundary value problems on time scales, Dynamic behaviors for a delay Lasota-Wazewska model with feedback control on time scales, Delay dynamic double integral inequalities on time scales with applications, Multiple capture of a given number of evaders in the problem of simple pursuit with phase restrictions on timescales, Stability analysis of causal integral evolution impulsive systems on time scales, Some new dynamic Gronwall-Bellman-Pachpatte type inequalities with delay on time scales and certain applications, Oscillatory and asymptotic behavior of nonlinear functional dynamic equations of third order, Bielecki-Ulam's types stability analysis of Hammerstein and mixed integro-dynamic systems of non-linear form with instantaneous impulses on time scales, Asymptotic behavior of Clifford-valued dynamic systems with \(D\)-operator on time scales, On innovations of \(n\)-dimensional integral-type inequality on time scales, A new conformable nabla derivative and its application on arbitrary time scales, Existence of nonoscillatory solutions tending to zero of fourth-order nonlinear neutral dynamic equations on time scales, An analysis on the controllability and stability to some fractional delay dynamical systems on time scales with impulsive effects, Lacunary statistical boundedness on time scales, Stability criteria for nonlinear Volterra integro-dynamic matrix Sylvester systems on measure chains, A uniqueness theorem on inverse spectral problems for the Sturm-Liouville differential operators on time scales, The Taylor series method and trapezoidal rule on time scales, Stability and \(L_\infty\) performance analysis of positive systems with bounded time-varying delays on time scales, Investigation of the spectrum of singular Sturm-Liouville operators on unbounded time scales, General forms of solutions for linear impulsive fuzzy dynamic equations on time scales, Oscillatory behavior of solutions of dynamic equations of higher order on time scales, New oscillation criteria for \(p\)-Laplacian dynamic equations on time scales, $F$-contraction mappings on metric-like spaces in connection with integral equations on time scales, Linear fuzzy Volterra integral equations on time scales, On new unified bounds for a family of functions via fractional \(q\)-calculus theory, Three-order multipoint boundary value problems for \(p\)-Laplacian operator on time scales, Exponentials and Laplace transforms on nonuniform time scales, Statistical convergence of multiple sequences on a product time scale, Perturbation to Lie symmetry and adiabatic invariants for Birkhoffian systems on time scales, Best constant for Ulam stability of first-order \(h\)-difference equations with periodic coefficient, An interior inverse Sturm-Liouville problem on a time scale, A time scales approach for modeling intermittent hormone therapy for prostate cancer, On the Bielecki-Ulam's type stability results of first order non-linear impulsive delay dynamic systems on time scales, Some nonlinear integral inequalities connected with retarded terms on time scales, Periodic solutions of the \(N\)-preys and \(M\)-predators model with variable rates on time scales, Dynamic programming and Hamilton-Jacobi-Bellman equations on time scales, Compact almost automorphic function on time scales and its application, A multivalued logarithm on time scales, A critical point approach for a second-order dynamic Sturm-Liouville boundary value problem with \(p\)-Laplacian, Existence results for dynamic Sturm-Liouville boundary value problems via variational methods, Time-scale version of generalized Birkhoffian mechanics and its symmetries and conserved quantities of Noether type, On inequality applicable to partial dynamic equations, Dynamic integral inequalities on time scales with `maxima', Asymptotic behavior of second-order nonlinear neutral dynamic equations, Asymptotic behaviors of higher order nonlinear dynamic equations on time scales, Lower and upper estimates of solutions to systems of delay dynamic equations on time scales, On the topological classification of dynamic equations on time scales, Comparison theorems for oscillation of second-order neutral dynamic equations, Eigenvalue intervals for iterative systems of nonlinear \(m\)-point boundary value problems on time scales, Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces, Existence of solutions for a class of fourth-order multipoint boundary-value problems on time scales, Some dynamic integral inequalities with mixed nonlinearities on time scales, Some new existence results of positive solutions to an even-order boundary value problem on time scales, Oscillatory and asymptotic properties on a class of third nonlinear dynamic equations with damping term on time scales, Oscillation criteria for second-order neutral delay dynamic equations with nonlinearities given by Riemann-Stieltjes integrals, Almost periodic solutions of neutral delay functional differential equations on time scales, Oscillation of fourth-order delay dynamic equations, Eigenvalue theory for time scale symplectic systems depending nonlinearly on spectral parameter, Homoclinic orbits and periodic solutions for a class of Hamiltonian systems on time scales, Impulsive stochastic BAM neural networks on an invariant under a translation time scale, The behavior of quantum particles at very low scale, Time scale-induced asynchronous discrete dynamical systems, An ergodic approach to Laplace transforms on time scales, On recovering the Sturm-Liouville differential operators on time scales, Linear operators associated with differential and difference systems: what is different?, Existence on solutions of a class of casual differential equations on a time scale, Some remark on oscillation of second order impulsive delay dynamic equations on time scales, Oscillation properties of solutions of second order neutral dynamic equations of non-canonical type on time scales, Oscillation of nonlinear neutral dynamic equations on time scales, Stability and \(L_p\)-gain characterization of positive linear systems on time scales, On Cauchy-Schwarz inequality for \(N\)-tuple diamond-alpha integral, Derivation of dynamical integral inequalities based on two-dimensional time scales theory, Fractional Sobolev space on time scales and its application to a fractional boundary value problem on time scales, Some dynamic Hilbert-type inequalities for two variables on time scales, Some Hermite-Hadamard and Opial dynamic inequalities on time scales, Generalized Jensen's functional on time scales via extended Montgomery identity, On nabla conformable fractional Hardy-type inequalities on arbitrary time scales, Nonshifted dynamics of constrained systems on time scales under Lagrange framework and its Noether's theorem, Existence of nonoscillatory solutions tending to zero of third-order neutral dynamic equations on time scales, Study on the estimates of Gronwall-Ou-Iang dynamic integral inequalities by means of diamond-\(\alpha\) derivatives, Duality for Stieltjes differential and integral equations, Balanced truncation model reduction in approximation of nabla difference-based discrete-time fractional-order systems, \(\Delta\)-Choquet integral on time scales with applications, Stability and controllability for Volterra integro-dynamical matrix Sylvester impulsive system on time scales, Solvability for a class of integral inequalities with maxima on the theory of time scales and their applications, Discontinuous generalized double-almost-periodic functions on almost-complete-closed time scales, Basic theory of differential equations with linear perturbations of second type on time scales, Dependence of eigenvalues of Sturm-Liouville problems on time scales with eigenparameter-dependent boundary conditions, Reconstruction of nonlinear integral inequalities associated with time scales calculus, Properties of third-order nonlinear delay dynamic equations with positive and negative coefficients, A new approach to interval-valued inequalities, Existence and uniqueness of solutions for a nonlinear coupled system of fractional differential equations on time scales, Convex optimization on mixed domains, Completeness theorem for the dissipative Sturm-Liouville operator on bounded time scales, Oscillation criteria for second order neutral dynamic equations of Emden-Fowler type with positive and negative coefficients on time scales, On the approximation of Riemann-Liouville integral by fractional nabla h-sum and applications, Conformable fractional Dirac system on time scales, Existence of positive solutions for nonlinear three-point problems on time scales, Triple positive solutions of three-point boundary value problems for \(p\)-Laplacian dynamic equations on time scales, Anderson's inequality on time scales, On the polydynamics of nonlinear systems on a time scale, Periodic boundary value problems for first-order impulsive dynamic equations on time scales, Oscillation theorems for second order nonlinear dynamic equations, Existence theory for positive solutions to one-dimensional \(p\)-Laplacian boundary value problems on time scales, New comparison and oscillation theorems for second-order half-linear dynamic equations on time scales, Positive solutions of nonlinear \(m\)-point boundary value problems on time scales, Triple positive solutions for a class ofm-point dynamic equations on time scales withp-Laplacian, The existence of three positive solutions of \(m\)-point boundary value problems for some dynamic equations on time scales, Oscillation of third order nonlinear delay dynamic equations on time scales, Multiple positive pseudo-symmetric solutions of \(p\)-Laplacian dynamic equations on time scales, Existence of a spectral measure for second-order delta dynamic equations on semi-infinite time scale intervals, Some inequalities for partial derivatives on time scales, Hille and Nehari-type oscillation criteria for third-order Emden-Fowler neutral delay dynamic equations, Oscillation criteria for higher order quasilinear dynamic equations with Laplacians and a deviating argument, Well-posedness and maximum principles for lattice reaction-diffusion equations, Some Ostrowski type inequalities for double integrals on time scales, On some explicit bounds of integral inequalities related to time scales, Multiple positive solutions for nonlinear three-point boundary value problems on time scales, Eigenvalue distribution of second-order dynamic equations on time scales considered as fractals, Function series theory of time scales, First order conditions for generalized variational problems over time scales, Oscillation criteria for second order quasilinear neutral delay differential equations on time scales, On Lyapunov-type inequalities for nonlinear dynamic systems on time scales, Oscillation theorems for second-order half-linear delay dynamic equations with damping on time scales, Itô's Lemma with quantum calculus (\(q\)-calculus): some implications, Eigenvalue problems for higher-order \(p\)-Laplacian dynamic equations on time scales, Comparison and oscillatory behavior for certain second order nonlinear dynamic equations, Existence of positive solutions for second-order \(m\)-point boundary value problems on time scales, Existence results for time scale boundary value problem, Some improvements of Minkowski's integral inequality on time scales, Existence of symmetric positive solutions for a multipoint boundary value problem with sign-changing nonlinearity on time scales, Oscillation of higher order nonlinear dynamic equations on time scales, Corrigendum to: ``Oscillation behavior of third-order neutral Emden-Fowler delay dynamic equations on time scales, Positive solutions for system of \(2n\)-th order Sturm-Liouville boundary value problems on time scales, Oscillation theorems for fourth-order half-linear delay dynamic equations with damping, Stability for first order delay dynamic equations on time scales, Triple positive solutions for some second-order boundary value problem on a measure chain, Periodic boundary value problems of integro-differential equation of Volterra type on time scales, Double integral calculus of variations on time scales, Positive solutions for a class of boundary value problems on time scales, Applications of time scale symplectic systems without normality, Some nonlinear dynamic inequalities on time scales, Existence and multiplicity of positive solutions to nonlinear first-order PBVPs on time scales, A generalized Fourier transform and convolution on time scales, Multiple positive solutions for the one-dimensional \(p\)-Laplacian dynamic equations on time scales, Some nonlinear integral inequalities on time scales, Extremal solutions of periodic boundary value problems for first-order impulsive integrodifferential equations of mixed-type on time scales, Singular second-order multipoint dynamic boundary value problems with mixed derivatives, Existence and nonexistence of positive solutions to a right-focal boundary value problem on time scales, Boundedness and vanishing of solutions for a forced delay dynamic equation, Asymptotic behavior of solutions for neutral dynamic equations on time scales, The formulation of second-order boundary value problems on time scales, Hille-Kneser-type criteria for second-order dynamic equations on time scales, Asymptotic stability for dynamic equations on time scales, Lyapunov functions for linear nonautonomous dynamical equations on time scales, Invariant foliations and stability in critical cases, How the constants in Hille-Nehari theorems depend on time scales, Oscillation of second-order neutral delay and mixed-type dynamic equations on time scales, Nonlinear integral inequalities on time scales with `maxima', An application of variational approach to a class of damped vibration problems with impulsive effects on time scales, Existence, uniqueness and stability of solution to mixed integral dynamic systems with instantaneous and noninstantaneous impulses on time scales, Periodic solutions of a nonautonomous Leslie-Gower predator-prey model with non-linear type prey harvesting on time scales, Stability analysis of the first order non-linear impulsive time varying delay dynamic system on time scales, Stability analysis of a class of switched nonlinear systems using the time scale theory, Stability analysis of switched systems on time scales with all modes unstable, Oscillation for forced second-order impulsive nonlinear dynamic equations on time scales, Almost periodic solutions of impulsive BAM neural networks with variable delays on time scales, Matrix Lyapunov functions method for sets of dynamic equations on time scales, Some Steffensen-type dynamic inequalities on time scales, Basic theory of differential equations with mixed perturbations of the second type on time scales, Existence-uniqueness of solutions for fuzzy nabla initial value problems on time scales, Almost periodic solutions for second order dynamic equations on time scales, Extremal solutions for nonlinear first-order impulsive integro-differential dynamic equations, \(N\)-tuple diamond-alpha integral and inequalities on time scales, Oscillation of Emden-Fowler type nonlinear neutral delay dynamic equation on time scales, Oscillation criteria for fourth-order nonlinear dynamic equations on time scales, Global exponential stability of learning-based fuzzy networks on time scales, A dynamic matrix exponential via a matrix cylinder transformation, Stability of sets of hybrid dynamical systems with aftereffect, Statistical convergence of double sequences on product time scales, Nonoscillatory solutions to higher-order nonlinear neutral dynamic equations, \(C^n\)-almost periodic functions and an application to a Lasota-Wazewska model on time scales, Generalized \(n\) dimensional Ostrowski type and Grüss type inequalities on time scales, Uniform statistical convergence on time scales, On the boundedness of a class of nonlinear dynamic equations of second order, Oscillation of second-order nonlinear neutral dynamic equations with noncanonical operators, Oscillation and asymptotic behavior of third-order nonlinear retarded dynamic equations, Oscillation of second-order \(p\)-Laplace dynamic equations with a nonpositive neutral coefficient, Discrete-space partial dynamic equations on time scales and applications to stochastic processes, Parameter-dependent integral on time scales, On Volterra integral equations on time scales, Multiple positive solutions for a fourth-order \(p\)-Laplacian Sturm-Liouville boundary value problems on time scales, Oscillation criteria for quasi-linear functional dynamic equations on time scales, A critical oscillation constant as a variable of time scales for half-linear dynamic equations, Backward linear control systems on time scales, On the convergence of solutions to dynamic equations on time scales, Unnamed Item, Multiple periodic solutions of functional differential equations with impulses on time scales, Eigenfunction expansions in \(L^{2}\) spaces for boundary value problems on time-scales, A Cauchy Problem on Time Scales with Applications, Unnamed Item, Floquet theory for a Volterra integro-dynamic system, Solvability of Sturm-Liouville problems on time scales at resonance, Ablowitz-Ladik hierarchy of integrable equations on a time-space scale, Oscillation criteria for higher order nonlinear dynamic equations, A modified Mikhailov stability criterion for a class of discrete-time noncommensurate fractional-order systems, Stochastic linear quadratic control problem on time scales, Oscillation of nonlinear fractional dynamic equations with forcing term, General Cauchy–Lipschitz theory for Δ-Cauchy problems with Carathéodory dynamics on time scales, A new definition of conformable fractional derivative on arbitrary time scales, Study of nonlinear Pachpatte's inequalities on time scales, Pseudo almost periodic solutions for quaternion-valued high-order Hopfield neural networks with time-varying delays and leakage delays on time scales, Matrix measures, stability and contraction theory for dynamical systems on time scales, Equilibria and stability analysis of Cohen-Grossberg BAM neural networks on time scale, Nehari-type oscillation theorems for second order functional dynamic equations, The one-dimensional Schrödinger operator on bounded time scales, Besicovitch almost periodic solutions to semilinear evolution dynamic equations with varying delay, Parameter identification for vector dynamic equations on arbitrary time scales, Single-soliton solution of KdV equation via Hirota's direct method under the time scale framework, Discrete normal vector field approximation via time scale calculus, Mittag–Leffler functions,l^pn-balls and geometric pairings, Unnamed Item, Weighted pseudo-almost periodic functions on time scales with applications to cellular neural networks with discrete delays, Asymptotic behavior of dynamic equations ontime scales, On almost automorphic solutions for cellular neural networks with time-varying delays in leakage terms on time scales1, The discrete Prüfer transformation, Multiple solutions of boundary value problems on time scales for a φ-Laplacian operator, Extensions of Hölder's inequality and its applications in Ostrowski inequality, Higher-order singular multi-point boundary-value problems on time scales, Disconjugacy, transformations and quadratic functionals for symplectic dynamic systems on time scales, On lower and upper solutions without ordering on time scales, Oscillation criteria for second-order delay dynamic equations on time scales, Nonregressivity in switched linear circuits and mechanical systems, Dynamic equations x(Δm)(t) = f(t, x(t)) on time scales, Periodic solutions of functional dynamic equations with infinite delay, Triple positive pseudo-symmetric solutions of three-point BVPs for \(p\)-Laplacian dynamic equations on time scales, Twin positive solutions of nonlinear first-order boundary value problems on time scales, Periodicity in a nonlinear predator-prey system on time scales with state-dependent delays, Unnamed Item, A telescoping principle for oscillation of second order differential equations on a time scale, Boundedness of solutions of second-order forced nonlinear dynamic equations, The generalized quasilinearization for integro-differential equations of Volterra type on time scales, Philos-type oscillation criteria for second order half-linear dynamic equations on time scales, Riccati equations for abnormal time scale quadratic functionals, Lyapunov's inequality on timescales, Existence and nonexistence of positive solutions for second-order time scale systems, Existence of solutions to boundary value problems for dynamic systems on time scales, A new existence theorem for right focal boundary value problems on a measure chain, Existence of positive solutions to second-order time scale systems, Positive solutions of singular differential equations on measure chains, Square integrability of Gaussian bells on time scales, Eigenvalue problems for second-order nonlinear dynamic equations on time scales, Delay dynamic equations with stability, Second-order \(n\)-point eigenvalue problems on time scales, Singular boundary value problem on infinite time scale, Some complements of Cauchy's inequality on time scales, Some new dynamic inequalities on time scales, Existence of solution and positive solution of BVP for nonlinear third-order dynamic equation, Higher-order self-adjoint boundary-value problems on time scales, Triple positive solutions of boundary value problems for \(p\)-Laplacian dynamic equations on time scales, Nodal solutions to nonlinear eigenvalue problems on time scales, Nonlinear oscillation of second-order neutral dynamic equations with distributed delay, Oscillatory properties of second-order nonlinear neutral dynamic equations with positive and negative coefficients, Multiple positive periodic solutions for an n-species competition predator-prey system on time scales, Asymptotic properties of third-order half-linear neutral dynamic equations with mixed arguments, Bi-Hamiltonian structures for integrable systems on regular time scales, Periodic solutions for a Cauchy problem on time scales, Transition matrix and generalized matrix exponential via the Peano-Baker series, Existence results for an even-order boundary value problem on time scales, On the stability of dynamical systems on a time scale, Positive solutions to nonlinear first-order PBVPs with parameter on time scales, Unnamed Item, Fractional Cauchy problem with Caputo nabla derivative on time scales, Eigenvalue problems for nonlinear third-orderm-pointp-Laplacian dynamic equations on time scales, Unnamed Item, Multiscale functions, scale dynamics, and applications to partial differential equations, Solow multi-capital growth model described by a system of differential equations on time scales, Noether theorem for nonholonomic nonconservative mechanical systems in phase space on time scales, On the oscillation certain fourth order nonlinear dynamic equations with a nonlinear middle term, PRINCIPAL MATRIX SOLUTIONS AND VARIATION OF PARAMETERS FOR VOLTERRA INTEGRO-DYNAMIC EQUATIONS ON TIME SCALES, Lipschitz and Besov spaces in quantum calculus, Asymptotic and Oscillatory Behavior of Dynamic Equations on Time Scales, On the exact discretization of the classical harmonic oscillator equation, Converses of Jessen's inequality on time scales II, Properties of the Laplace transform on time scales with arbitrary graininess, Further properties of the Laplace transform on time scales with arbitrary graininess, The First Attempt on the Stochastic Calculus on Time Scale, Delta-nabla optimal control problems, Lyapunov inequality for linear Hamiltonian systems on time scales, Hille and Nehari type criteria for third-order delay dynamic equations, Oscillation of second-order nonlinear neutral delay dynamic equations on time scales, Discrete Optimal Control: Second Order Optimality Conditions, Oscillation Criteria for Second Order Impulsive Delay Dynamic Equations on Time Scale, Basics of Riemann Delta and Nabla Integration on Time Scales, Quadratic functionals for second order matrix equations on time scales, Time-hybrid heat and wave equations on scattered $n$-dimensional coupled-jumping time scales, On a simple pursuit problem on time scales of two coordinated evaders, Eigenvalue Intervals for 2mth Order Sturm—Liouville Boundary Value Problems, On oscillatory behaviour of third-order half-linear dynamic equations on time scales, Existence of positive solutions for a nonlinear semipositone boundary value problems on a time scale, CERTAIN DEVELOPMENTS ON SOLUTIONS OF DYNAMIC INEQUALITIES IN THE PREMISE OF TIME SCALES, Unnamed Item, Explicit Estimates on Some Nonlinear Integral Inequalities in Two Independent Variables on Time Scales and Applications, Lyapunov Inequality For Dynamic Equation With Ordern+1 On Time Scales, Oscillation of symplectic dynamic systems, Hochstadt-Lieberman type theorems for a diffusion operator on a time scale, THE CRITERIA FOR OSCILLATION OF TWO-DIMENSIONAL NEUTRAL DELAY DYNAMICAL SYSTEMS ON TIME SCALES, Oscillation for Neutral Dynamic Functional Equations on Time Scales, Nonlinear retarded integral inequalities on time scales and their applications, Stability of nonautonomous impulsive evolution system on time scale, Δ_λ-Statistical boundedness on time scales, Positive solutions of impulsive time-scale boundary value problems with p-Laplacian on the half-line, Some Steffensen-type inequalities over time scale measure spaces, On extensions of singular fourth order dynamic operators on time scales, Oscillation results for second order half-linear functional dynamic equations with unbounded neutral coefficients on time scales, Schwarzian derivative and Ermakov equation on a time scale, Spectral analysis of singular Sturm-Liouville operators on time scales, On some generalizations of nonlinear dynamic inequalities on time scales and their applications, New retarded dynamic inequalities on time scales with applications, Infinitely Many Positive Solutions for an Iterative System of Conformable Fractional Order Dynamic Boundary Value Problems on Time Scales, Determination of a differential pencil from interior spectral data on a union of two closed intervals, Delay equations on time scales: Essentials and asymptotics of the solutions, EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR BAM NEURAL NETWORKS WITH DISTRIBUTED LEAKAGE DELAYS ON TIME SCALES, Unnamed Item, Oscillation criteria for a forced second-order nonlinear dynamic equation, Hyers-Ulam Stability of a Nonlinear Volterra Integral Equation on Time Scales, Non‐self‐adjoint singular second‐order dynamic operators on time scale, Weighted piecewise pseudo double-almost periodic solution for impulsive evolution equations, Extensions of Holder-type inequalities on time scales and their applications, Existence of nonoscillatory solutions to nonlinear third-order neutral dynamic equations on time scales, Multiple positive solutions of nonlinear $m$-point dynamic equations for $p$-Laplacian on time scales, A generalization of the Alexander polynomial as an application of the delta derivative, One Dimensional Dirac Operators on Time Scales, Conformable fractional Sturm-Liouville equation and some existence results on time scales, Unnamed Item, A UNIFIED ANALYSIS OF LINEAR QUATERNION DYNAMIC EQUATIONS ON TIME SCALES, EXISTENCE AND GLOBAL STABILITY OF ALMOST AUTOMORPHIC SOLUTIONS FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS IN LEAKAGE TERMS ON TIME SCALES, OSCILLATORY AND ASYMPTOTIC CRITERIA OF THIRD ORDER NONLINEAR DELAY DYNAMIC EQUATIONS WITH DAMPING TERM ON TIME SCALES, OSCILLATION OF SECOND ORDER NONLINEAR DYNAMIC EQUATIONS WITH A NONLINEAR NEUTRAL TERM ON TIME SCALES, EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTIONS FOR NICHOLSON'S BLOWFLIES MODELS WITH PATCH STRUCTURE AND LINEAR HARVESTING TERMS OB TIME SCALES, Unnamed Item, The discrete delta and nabla Mittag-Leffler distributions, Lax systems and nonlinear equations on a time-space scale, Unnamed Item, Linear programming problems on time scales, Differential and difference calculus — Unified!, Diamond-Phi_h dynamics on time scales with an application to economics, Oscillation criteria for first-order dynamic equations with nonmonotone delays, Transport equation on semidiscrete domains and Poisson–Bernoulli processes, EXISTENCE OF RESOLVENT FOR VOLTERRA INTEGRAL EQUATIONS ON TIME SCALES, EXISTENCE FOR PERIODIC SOLUTIONS OF A RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH TIME-VARYING DELAYS ON TIME SCALES, Interval criteria for second-order super-half-linear functional dynamic equations with delay and advance arguments, A multiplicity result for a generalized Sturm–Liouville problem on time scales, LINEAR TRANSFORMATIONS AND FLOQUET THEOREM FOR LINEAR IMPLICIT DYNAMIC EQUATIONS ON TIME SCALES, Unnamed Item, On the stability of linear dynamic systems on time scales, Fractional dynamic inequalities harmonized on time scales, Generalization of Jensen-type linear functional on time scales via lidstone polynomial, Variational approach for a p-Laplacian boundary value problem on time scales, A nonautonomous epidemic model on time scales, Unnamed Item, 3 soliton solution to Sine-Gordon equation on a space scale, Oscillation of third-order quasilinear neutral dynamic equations on time scales with distributed deviating arguments, SELF-SIMILARITY OF SOLUTIONS TO INTEGRAL AND DIFFERENTIAL EQUATIONS WITH RESPECT TO A FRACTAL MEASURE, Half-inverse Sturm–Liouville problem on a time scale, Analytic Functions on Time Scales, Oscillation Properties of an Emden-Fowler Type Equation on Discrete Time Scales, Integral inequalities of Levinson's type in time scale settings, SOME GRONWALL{BELLMAN TYPE INEQUALITIES ON TIME SCALES FOR VOLTERRA-FREDHOLM DYNAMIC INTEGRAL EQUATIONS, On the oscillation of second-order half-linear dynamic equations1, xistence of positive solutions for nonlinear multipoint p-Laplacian dynamicequations on time scales, Hadamard-type fractional differential equations for the system of integral inequalities on time scales, Unnamed Item, Generalizations of Gronwall–Bihari inequalities on time scales, On the existence of positive solutions of the p‐Laplacian dynamic equations on time scales, Oscillation criteria for nonlinear functional neutral dynamic equations on time scales, Unnamed Item, Unnamed Item, The problem of simple group pursuit with phase constraints in time scales, Singular Conjugate Boundary Value Problems on a Time Scale, The exponential of a constant matrix on time scales, Hardy-type operators with general kernels and characterizations of dynamic weighted inequalities, Eigenvalue conditions and positive solutions, Unnamed Item, Existence of extremal solutions by approximation to a first-order initial dynamic equation with Carathéodory's conditions and discontinuous non-linearities*, Multivariate Hardy and Littlewood inequalities on time scales, Integrable equations on time scales, Fundamental properties of statistical convergence and lacunary statistical convergence on time scales, Permanence for Leslie-Gower predator-prey system with feedback controls on time scales, Multiple solutions for 2mth order sturm—lioville boundary value problems on a measure chain, Oscillatory behaviour of higher-order nonlinear neutral delay dynamic equations on time scales, The Ulam stability of non-linear Volterra integro-dynamic equations on time scales, Bessel equation and Bessel function on $\mathbb{T}_{(q,h)}$, Hirota-Miwa equations on a time space scale, Oscillation criteria for higher‐order nonlinear dynamic equations with Laplacians and a deviating argument on time scales, Bounded solutions and Hyers–Ulam stability of quasilinear dynamic equations on time scales, The generalized Fourier convolution on time scales, Generalization of statistical limit-cluster points and the concepts of statistical limit inferior-superior on time scales by using regular integral transformations, Almost periodic positive solutions for a time-delayed SIR epidemic model with saturated treatment on time scales, Unnamed Item, Unnamed Item, Existence and exponential stability of unique almost periodic solution for Lasota-Wazewska red blood cell model with perturbation on time scales, On some dynamic inequalities of Ostrowski, trapezoid, and Grüss type on time scales, Exponential stability for a class of set dynamic equations on time scales, Non–limit‐circle and limit‐point criteria for symplectic and linear Hamiltonian systems, Oscillatory behavior of solutions of third-order nonlinear neutral delay dynamic equations on time scales, Pseudo almost periodic synchronization of OVCNNs with time-varying delays and distributed delays on time scales, Existence of periodic solutions for a class of dynamic equations with multiple time varying delays on time scales, Robust stability for implicit dynamic equations with causal operators on time scales, Unnamed Item, Stability of Cayley dynamic systems with impulsive effects, On some investigations of alpha-conformable Ostrowski-trapezoid-Grüss dynamic inequalities on time scales, Numerical solution ofq‐dynamic equations, Principal and nonprincipal solutions of impulsive dynamic equations: Leighton and Wong type oscillation theorems, A pliant model to count data: nabla Poisson-Lindley distribution with a practical data example, Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales, On the oscillations of the solutions for a class of second order nonlinear functional dynamic equations on time scales with unbounded neutral coefficients, Almost periodic oscillation of octonion-valued neural networks with delays on time scales, Variational approach of \(p\)-Laplacian impulsive differential equations with periodic conditions, Double lacunary statistical convergence of \(\Delta\)-measurable functions on product time scales, The heat equation on time scales, Novel dynamic Hardy‐type inequalities on time scales, The Taylor series method of order p and Adams–Bashforth method on time scales, On asymptotically statistical equivalent functions on time scales, Oscillatory behavior for certain higher order p$$ p $$‐Laplacians functional dynamic equations of neutral type on time scales, Analysis of fractional integro causal evolution impulsive systems on time scales, Improved oscillation criteria for second order quasilinear dynamic equations of noncanonical type, Simple pursuit problem with phase constraints of two coordinated evaders on time scales, Asymptotic equivalence of impulsive dynamic equations on time scales, Nonlinear second order delay dynamic equations on time scales: new oscillatory criteria, New principles of non-linear integral inequalities on time scales, Existence results for some generalized sigmoid Beverton-Holt models in time scales, λ− Wijsman statistical convergence on time scales, On a group pursuit problem on time scales, Weighted dynamic estimates for convex and subharmonic functions on time scales, Weyl almost automorphic solutions for a class of Clifford‐valued dynamic equations with delays on time scales, Oscillation of higher order nonlinear dynamic equations with a nonlinear neutral term, Is the Sacker–Sell type spectrum equal to the contractible set?, Normal forms, holomorphic linearization and generic bifurcations of dynamic equations on discrete time scales, Quaternion-valued dynamic equations and Henstock-Kurzweil delta-integrals on time scales: a survey, Existence results for impulsive dynamic singular nonlinear Sturm-Liouville equations on infinite intervals, Unnamed Item, Unnamed Item, Analytical approximation formulas in quantum calculus, Unnamed Item, Unnamed Item, Sufficiency and sensitivity for nonlinear optimal control problems on time scales via coercivity, Unnamed Item, STEFFENSEN'S INEQUALITY ON TIME SCALES FOR CONVEX FUNCTIONS, Existence of positive solutions for system of second order integro-diﬀerential equations with multi-point boundary conditions on time scales, Oscillation of perturbed nonlinear dynamic equations on time scales, Oscillation of second-order nonlinear delay dynamic equations on time scales, Some integral inequalities on time scales, Oscillation of second-order nonlinear delay dynamic equations on time scales, Three positive solutions of three-point boundary value problems for \(p\)-Laplacian dynamic equations on time scales, Positive solutions for third-order \(p\)-Laplacian functional dynamic equations on time scales, Inhomogeneous quadratic functionals on time scales, Generalized Hardy, Copson, Leindler and Bennett inequalities on time scales, Oscillation results for second-order nonlinear neutral delay dynamic equations on time scales, Nonlinear boundary value problems on time scales, Three positive solutions of three-point boundary value problems for \(p\)-Laplacian dynamic equations on time scales, Hyers-Ulam stability of nonlinear impulsive Volterra integro-delay dynamic system on time scales, Uniqueness implies existence on time scales, Multiple positive solutions for \(p\)-Laplacian functional dynamic equations on time scales, On multiplicity of solutions of a superlinear equation on time scales*, The discrete and periodic heat and harmonic oscillator equation, Interpolation in dynamic equations on time scales, The Beverton–Holt dynamic equation, Cauchy functions for dynamic equations on a measure chain, Global bifurcation on time scales, Elements of the theory of stability of hybrid systems (review), Asymptotic expansions and analytic dynamic equations, Unnamed Item, Existence of nonoscillatory solutions to third-order neutral functional dynamic equations on time scales, A variety of dynamic inequalities on time scales with retardation, Some reverse Hölder inequalities with Specht's ratio on time scales, Third order right focal boundary value problems on a time scale, Solutions to nonlinear second-order three-point boundary value problems of dynamic equations on time scales, Generalized first order dynamic equations on time scales with Δ-Carathéodory functions, Singular multiparameter dynamic equations with distributional potentials on time scales, Dynamic Littlewood-type inequalities, Multidimensional Hardy-type inequalities on time scales with variable exponents, Time scale symplectic systems with analytic dependence on spectral parameter, Linear Integral Equations with Discontinuous Kernels and the Representation of Operators on Regulated Functions on Time Scales, Limit circle invariance for two differential systems on time scales, Matrix measure on time scales and almost periodic analysis of the impulsive Lasota–Wazewska model with patch structure and forced perturbations, Nonlinear dynamic equations on time scales with impulses and nonlocal conditions, Generalized quantum exponential function and its applications, Asymptotic iteration technique for second-order dynamic equations on time scales, Oscillation of second-order nonlinear delay dynamic equations with damping on time scales, Oscillation Result for Nonlinear Fourth-Order Homogeneous Neutral Delay Dynamic Equations, Multiplicative ergodic theorem of semi-discrete dynamic systems

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