On the existence of positive solutions of higher order difference equations
From MaRDI portal
Publication:1130202
DOI10.12775/TMNA.1997.036zbMath0914.39005OpenAlexW2592403340MaRDI QIDQ1130202
Ravi P. Agarwal, Patricia J. Y. Wong
Publication date: 21 June 1999
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.12775/tmna.1997.036
Related Items
Extension of continuous and discrete inequalities due to Eloe and Henderson ⋮ On multiple fixed-sign solutions of a discrete system with Hermite boundary conditions ⋮ Existence of \(\psi\)-bounded solutions for linear difference equations ⋮ Existence of positive solutions of boundary value problem for a discrete difference system ⋮ Nonoscillatory solutions of second order nonlinear difference equations ⋮ Existence theory for positive solutions to one-dimensional \(p\)-Laplacian boundary value problems on time scales ⋮ Triple solutions of focal boundary value problems on time scale ⋮ Stability analysis of nonautonomous difference systems with delaying arguments ⋮ Singular discrete and continuous mixed boundary value problems ⋮ Positive solutions of two-point right focal boundary value problems on time scales ⋮ Positive periodic solutions of functional discrete systems with a parameter ⋮ Oscillatory behavior of solutions to Volterra summation equations ⋮ Stability of a general class of difference systems ⋮ Oscillations and nonoscillations of half-linear difference equations generated by deviating arguments ⋮ Convergence to equilibria in recurrence equations ⋮ A fixed-point approach for nonlinear discrete boundary value problems ⋮ Discrete Gronwall inequalities in many variables ⋮ Exponential dichotomy and trichotomy for difference equations ⋮ Bounded and monotone properties of solutions of second-order quasilinear forced difference equations ⋮ Eigenvalues and eigenfunctions of discrete conjugate boundary value problems ⋮ Eventual disconjugacy of self-adjoint difference equations ⋮ Fixed-sign solutions of a system of higher order difference equations ⋮ Global attractivity of a nonautonomous logistic difference equation with delay ⋮ Oscillation of two-dimensional difference systems ⋮ A system of \((n_i,p_i)\) boundary value problems with positive/nonpositive nonlinearities ⋮ The oscillation of systems of difference equations ⋮ Oscillation of second-order half-linear difference equations ⋮ Discrete conjugate boundary value problems ⋮ Oscillation of higher-order nonlinear difference equations of neutral type ⋮ Singular discrete \((n,p)\) boundary value problems ⋮ Oscillation and nonoscillation for second-order linear difference equations ⋮ Stability and estimates for the convergence of solutions for systems involving quadratic terms with constant deviating arguments ⋮ Oscillation criteria of first-order linear difference equations with delay argument ⋮ Positive solutions of discrete (n,p) boundary value problems ⋮ Existence of bounded and unbounded non-oscillatory solutions for partial difference equations ⋮ Oscillation criteria for first and second order forced difference equations with mixed nonlinearities ⋮ Three positive solutions of boundary value problems for \(p\)-Laplacian difference equations ⋮ Asymptotic stability of linear non-autonomous difference equations with fixed delay ⋮ Oscillation of the Emden-Fowler difference systems ⋮ The structure of the spectrum of a system of difference equations ⋮ Multiple fixed-sign solutions for a system of difference equations with Sturm-Liouville conditions ⋮ On the higher order rational recursive sequence \(X_{n} = \frac {A}{X_{n-k}}+\frac {B}{X_{n-3k}}\) ⋮ Existence of triple solutions of discrete \((n,p)\) boundary value problems ⋮ Exponential growth and oscillation of nonlinear homogeneous difference equations with periodic coefficients ⋮ An estimate of numbers of terms of semicycles of delay difference equations ⋮ The oscillation of partial difference equations with continuous arguments ⋮ Oscillation and comparison theorems for half-linear second-order difference equations ⋮ Explicit solution of certain nonlinear difference equations by using power polynomials ⋮ Spectral properties of non-selfadjoint difference operators ⋮ Oscillations of delay difference equations in a critical state ⋮ On the oscillatory properties of certain fourth order nonlinear difference equations ⋮ Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions ⋮ Positive periodic solutions of discrete \(n\)-species food-chain systems ⋮ Two-point right focal eigenvalue problems on time scales ⋮ Oscillation and non-oscillation for second-order linear difference equations ⋮ Existence of solutions for a nonlinear system with a parameter ⋮ Existence of positive solutions of BVPs for second-order nonlinear difference systems ⋮ Existence of nonoscillatory solutions of higher-order neutral difference equations with general coefficients ⋮ Difference equations of second order with spectral singularities ⋮ Positive decreasing solutions of quasi-linear difference equations ⋮ Uniform persistence and periodic solutions for a discrete predator-prey system with delays ⋮ Eigenvalues of second-order difference equations with coupled boundary conditions ⋮ A multiplicity result for a boundary value problem with infinitely many singularities ⋮ Periodic solutions for a Lotka-Volterra mutualism system with several delays ⋮ Permanence for the Michaelis--Menten type discrete three-species ratio-dependent food chain model with delay ⋮ Permanence of a discrete \(n\)-species food-chain system with time delays ⋮ Existence of positive solutions for certain nonlinear partial difference equations ⋮ Existence of positive solutions for nonpositive difference equations ⋮ On the number of positive solutions of a nonlinear algebraic system ⋮ Triple positive solutions of conjugate boundary value problems ⋮ Periodic solutions of second order nonlinear difference equations with discrete \(\phi\)-Laplacian ⋮ Existence of positive solutions for non-positive higher-order BVPs ⋮ On eigenvalue intervals and twin eigenfunctions of higher-order boundary value problems ⋮ Singular \((k,n-k)\) boundary value problems between conjugate and right focal ⋮ Eventually positive and monotonely decreasing solutions of partial difference equations ⋮ Forced oscillation of higher order nonlinear difference equations ⋮ Existence of bounded and unbounded nonoscillatory solutions of nonlinear partial difference equations ⋮ Feedback control has no influence on the persistent property of a single species discrete model with time delays ⋮ New oscillation criteria for second-order nonlinear neutral delay difference equations ⋮ Oscillation of parabolic neutral delay difference equations with several positive and negative coefficients ⋮ Multiple positive solutions of a discrete difference system ⋮ Oscillation of second-order perturbed nonlinear difference equations. ⋮ Oscillation of second-order sublinear neutral delay difference equations. ⋮ Oscillation of solutions of systems of neutral type partial functional differential equations. ⋮ Oscillations of difference equations with several delays. ⋮ Oscillation criteria for difference equations with damping terms. ⋮ Existence of periodic solutions for a periodic mutualism model on time scales ⋮ The asymptotic and oscillatory behavior of neutral difference inclusions. ⋮ Oscillation and nonoscillation for difference equations with variable delays ⋮ Asymptotic equivalence between two linear Volterra difference systems ⋮ Eigenvalues of a system of generalized right focal problems with deviating arguments ⋮ Eigenparameter dependent discrete Dirac equations with spectral singularities ⋮ Stable periodic solution of the discrete periodic Leslie-Gower predator-prey model ⋮ Oscillation of impulsive partial difference equations with continuous variables ⋮ Eigenvalues of a system of Fredholm integral equations ⋮ Existence and global stability of periodic solutions of a discrete ratio-dependent food chain model with delay ⋮ Permanence and global stability for nonautonomous discrete model of plankton allelopathy. ⋮ Jost solutions and the spectrum of the system of difference equations. ⋮ Oscillation criteria of a class of partial difference equations with delays ⋮ Three solutions of constant sign for a system of discrete equations ⋮ Existence and estimate of solutions of some nonlinear Volterra difference equations in Hilbert spaces ⋮ Oscillation for second-order nonlinear neutral delay difference equations ⋮ A note on the spectral singularities of non-selfadjoint matrix-valued difference operators ⋮ Positive periodic solutions of nonlinear functional difference equations depending on a parameter ⋮ Bifurcation techniques and positive solutions of discrete Lidstone boundary value problems ⋮ Singular discrete boundary value problems ⋮ Existence of a class of ergodic solutions implies exponential trichotomy ⋮ On two-point right focal eigenvalue problems ⋮ Positive solutions of difference equations with two-point right focal boundary conditions ⋮ Oscillation criteria for a certain even order neutral difference equation with an oscillating coefficient ⋮ Oscillation of certain neutral difference equations of mixed type ⋮ Existence and global stability of periodic solutions of a discrete predator-prey system with delays ⋮ Stable periodic orbits in nonlinear discrete-time neural networks with delayed feedback ⋮ Existence of nonoscillatory solutions of higher-order neutral delay difference equations with variable coefficients ⋮ Unbounded solutions of quasi-linear difference equations ⋮ Periodic orbits on discrete dynamical systems ⋮ Oscillation of certain two-dimensional nonlinear difference systems ⋮ The stability of partial difference systems with retarded arguments ⋮ Set-contractive mappings and difference equations in Banach spaces ⋮ The oscillation and stability of delay partial difference equations ⋮ Nonoscillatory solutions for discrete equations ⋮ Existence and uniqueness results for discrete second-order periodic boundary value problems ⋮ Three symmetric solutions of Lidstone boundary value problems for difference and partial difference equations ⋮ Asymptotic behavior of nonoscillatory solutions of neutral difference equations ⋮ Criteria for multiple solutions to difference and partial difference equations subject multipoint conjugate conditions ⋮ Positive periodic solutions for nonlinear difference equations with periodic coefficients ⋮ Existence of monotone positive solution of neutral partial difference equation ⋮ An application of Krasnoselskii fixed point theorem to the asymptotic behavior of solutions to difference equations in Banach spaces ⋮ An application of topological transversality to non-positive higher order difference equations ⋮ Asymptotic behaviour of solutions to higher order difference and partial difference equations with distributed deviating arguments ⋮ The semicycles of solutions of neutral difference equations ⋮ Triple positive solutions of conjugate boundary value problems. II ⋮ Nonexistence of positive solutions of a class of nonlinear delay partial difference equations ⋮ ``Virus in several discrete oscillation theorems ⋮ Multiple solutions of difference and partial difference equations with Lidstone conditions ⋮ Generalized multipoint conjugate eigenvalue problems ⋮ Existence theorems for a system of difference equations with \((n,p)\)-type conditions ⋮ Existence of positive solutions for BVPs of fourth-order difference equations ⋮ Existence of solutions to \((k,n-k-2)\) discrete boundary value problems ⋮ The almost periodic type difference equations ⋮ Multiple positive solutions of two-point right focal boundary value problems. ⋮ Solutions of constant signs of a system of Sturm-Liouville boundary value problems. ⋮ The oscillation of certain difference equations. ⋮ Oscillation of partial difference equations with continuous variables. ⋮ Asymptotic behavior of delay difference systems ⋮ Oscillations of higher-order linear difference equations ⋮ Fourth-order nonlinear oscillations of difference equations ⋮ Oscillation of a kind of two-variables functional equation. ⋮ Oscillation of certain third-order difference equations ⋮ Invariants and Liapunov functions for nonautonomous systems ⋮ Semicycles of solutions of nonlinear difference equations with several delays ⋮ The stability of certain partial difference equations ⋮ Bounded solutions and asymptotic stability of nonlinear difference equations in the complex plane. II. ⋮ Further results on fixed-sign solutions for a system of higher-order difference equations ⋮ A problem on Hartman and Wintner: approximation for discrete perturbations ⋮ Oscillation theorems for general quasilinear second-order difference equations ⋮ Existence of periodic solutions for fourth-order difference equations ⋮ Existence of triple positive solutions of two-point right focal boundary value problems on time scales ⋮ Oscillation and nonoscillation of two-dimensional difference systems
