Periodic solutions of a discretized differential delay equation

DOI10.1080/10236190902998008zbMath1194.34129OpenAlexW2147881329WikidataQ115296100 ScholiaQ115296100MaRDI QIDQ5305974

Anatoli F. Ivanov, Sergei I. Trofimchuk

Publication date: 24 March 2010

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/141601

zbMATH Keywords

periodic solutionssingular perturbationsinterval mapsdiscretizationsdifferential delay and difference equations

Mathematics Subject Classification ID

Periodic solutions to functional-differential equations (34K13) Dynamical systems involving maps of the interval (37E05) Singular perturbations of functional-differential equations (34K26)

Related Items (4)

On global dynamics in a periodic differential equation with deviating argument ⋮ Almost local stability in discrete delayed chaotic systems ⋮ Global dynamics of a differential equation with piecewise constant argument ⋮ Recursive dynamics in a class of systems on q-timescales with unbounded delays

Cites Work

• Delay differential equations: with applications in population dynamics
• Introduction to functional differential equations
• Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation
• Delay equations. Functional-, complex-, and nonlinear analysis
• On numerical approximation using differential equations with piecewise-constant arguments
• Numerical and finite delay approximations of attractors for logistic differential-integral equations with infinite delay
• Global stability in discrete population models with delayed-density dependence
• Differential-difference equations and nonlinear initial-boundary value problems for linear hyperbolic partial differential equations
• A Differential-Delay Equation Arising in Optics and Physiology
• On the discretization of a delay differential equation
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