Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Asymptotic behavior of solutions of differential-difference equations. - MaRDI portal

Asymptotic behavior of solutions of differential-difference equations.

From MaRDI portal
Publication:5724095

DOI10.1090/memo/0035zbMath0115.30102OpenAlexW2032187739MaRDI QIDQ5724095

Richard Bellman, Kenneth L. Cooke

Publication date: 1959

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0035



Related Items

Analysis of fractional delay systems of retarded and neutral type, Analytic solutions of coupled second-order delay differential equations, Numerical approximation of the solutions of delay differential equations on an infinite interval using piecewise constant arguments, Oscillations in age-structured population models with an Allee effect, Estimates for solutions of retarded equations with variable coefficients, On estimating the time taken to rectify faults in a software package during the system testing phase, An epidemic model with a time delay in transmission., On the numerical stability of Volterra integral equations with delay argument, Counting roots of the characteristic equation for linear delay-differential systems, Morse decompositions for delay-differential equations, Stability criteria for certain high odd order delay differential equations, Asymptotic tracking for 2-D and delay-differential systems, A structure-preserving doubling algorithm for quadratic eigenvalue problems arising from time-delay systems, Error estimation and step size control for delay differential equation solvers based on continuously embedded Runge-Kutta-Sarafyan methods, Stability criteria for certain delay integral equations of Volterra type, Stability of dynamic groups in distributed computing systems, Stability criteria for certain second-order delay differential equations with mixed coefficients, Necessary and sufficient conditions for oscillations of neutral equations with several coefficients, Asymptotic and numerical analysis of singular perturbation problems: A survey, Numerical stability analysis and computation of Hopf bifurcation points for delay differential equations, A discrete approximation framework for hereditary systems, Analysis and numerical solution of a functional differential equation, STUDY OF INSTANT SYSTEM AVAILABILITY, Asymptotic expansions in scalar linear functional differential equations, Breeding adjustment of small mammals to avoid predation, Generalized Riesz basis property in the analysis of neutral type systems., Time-delay systems: an overview of some recent advances and open problems., Short-run pain, long-run gain: the conditional welfare gains from international financial integration, Existence of bounded solutions of some systems of nonlinear functional differential equations with complicated deviating argument, An asymptotic theory for nonlinear functional differential equations., Verallgemeinerte Fourier-Entwicklungen ohne Gibbs'sches Phaenomen am Rand, Bounded solutions of some systems of nonlinear functional differential equations with iterated deviating argument, Series expansions and small solutions for Volterra equations of convolution type, On the stability in the critical case of a zero root for systems with time lag, F-stable and F[alpha,beta-stable integration/interpolation methods in the solution of retarded differential-difference equations], Global stability and periodicity in a glucose-insulin regulation model with a single delay, Solutions of a system of functional differential equations in a right neighborhood of zero, On strong regular stabilizability for linear neutral type systems, Vintage capital, investment, and growth, Explicit closed-form solution of coupled systems of Volterra integrodifferential systems, \(\mathcal D\)-stability for linear continuous-time systems with multiple time delays, Asymptotic behavior of solutions of a differential equation with asymptotically constant delay, Uniform numerical method for singularly perturbed delay differential equations, Explicit solution of systems of second-order differential-difference equations, Globally bounded solutions of a system of nonlinear functional differential equations with iterated deviating argument, On asymptotically autonomous retarded functional differential equations, Sensitivity analysis for a structured juvenile-adult model, Synthesis of PID controllers for a class of time delay systems, A numerical method for stability windows and unstable root-locus calculation for linear fractional time-delay systems, Stability analysis of neutral type systems in Hilbert space, On singularly perturbed retarded functional differential equations, On a conjecture of K. Cooke, Asymptotically autonomous neutral functional differential equations with time-dependent lag, Accurate spectral solutions for the parabolic and elliptic partial differential equations by the ultraspherical tau method, Perron's theorem for linear impulsive differential equations with distributed delay, Exact solutions and numerical approximations of mixed problems for the wave equation with delay, Projection series for retarded functional differential equations with applications to optimal control problems, A theorem on asymptotic behaviour of functional equations and its applications, PI stabilization of first-order systems with time delay, Some linear nonautonomous control problems with quadratic cost, On the closure in \(W^q_1\) of the attainable subspace of linear time lag systems, Approximate method for the numerical solution of singular perturbation problems, Rotational model for actin filament alignment by myosin, Asymptotically exponential solutions in nonlinear integral and differential equations, Representation of solutions and stability of linear differentialdifference equations in a Banach space, An analysis of stability with time-delay of link level power control in optical networks, Analytic-numerical solutions of diffusion mathematical models with delays, Linear autonomous neutral differential equations in a Banach space, The condition of regular degeneration for singularly perturbed linear differential-difference equations, A discrete delay decomposition approach to stability of linear retarded and neutral systems, Global attractivity in population dynamics, Periodic solutions of differential equations with time lag containing a small parameter, The numerical treatment of Volterra integro-differential equations with unbounded delay, A folk theorem in functional differential equations, Oscillatory solutions of the equation \(y'(x) = m(x) y(x-n(x))\), Sharp conditions for existence of nontrivial invariant cones of nonnegative initial values of difference equations, Equivalence of different hereditary structures in ordinary differential equations, Linear asymptotically autonomous functional differential equations, On the existence of periodic solutions of z'(t)=-az(t-r+uk(t,z(t)))+F(t), Linear functional differential equations of asymptotically autonomous type, The discrete Lyapunov function for scalar differential delay equations, Exponential solutions of systems of linear differential equations o of infinite order, Some aspects of causal and neutral equations used in modelling, Tuning of multivariable PI-controllers for unknown systems with input delay, Periodic solutions of differential equations with almost constant time lag, Quasi-periodic solutions for perturbed autonomous delay differential equations, Hereditary differential systems with constant delays. I. General case, Feedback control of linear systems with distribute d delay, An attainable sets approach to optimal control of functional differential equations with function space terminal conditions, The Hartman-Wintner theorem for functional-differential equations, Non-standard difference schemes for singular perturbation problems revisited, Numerical modelling in biosciences using delay differential equations, Open issues in devising software for the numerical solution of implicit delay differential equations, A sensitivity analysis for control systems having input time delays, Linear functional differential equations of neutral type asymptotically autonomous, On solutions of a class of systems of nonlinear functional differential equations of neutral type with complicated deviations of an argument, Solutions converging to zero of some systems of nonlinear functional differential equations with iterated deviating argument, Stability of BDF methods for nonlinear Volterra integral equations with delay, Stability criteria for certain third-order delay differential equations