On the discretization of a delay differential equation

DOI10.1080/10236190008808216zbMath0954.39003OpenAlexW2027460225WikidataQ115296130 ScholiaQ115296130MaRDI QIDQ4954276

Anatoli F. Ivanov, Kenneth L. Cooke

Publication date: 5 February 2001

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

Full work available at URL: https://doi.org/10.1080/10236190008808216

zbMATH Keywords

periodic solutionssmall parameterdelay differential equationdifference equationEuler discretizationhyperbolic cycle

Mathematics Subject Classification ID

Periodic solutions to functional-differential equations (34K13) Discrete version of topics in analysis (39A12) Singular perturbations of functional-differential equations (34K26)

Related Items

A note on the global stability of generalized difference equations ⋮ On global dynamics in a periodic differential equation with deviating argument ⋮ Periodic solutions of a discretized differential delay equation ⋮ Global stabilization in nonlinear discrete systems with time-delay ⋮ Almost local stability in discrete delayed chaotic systems ⋮ Periodic, nonperiodic, and chaotic solutions for a class of difference equations with negative feedback ⋮ Stability and synchronization analysis of neural networks via Halanay-type inequality ⋮ Asymptotic stability of linear non-autonomous difference equations with fixed delay ⋮ Convergence to equilibria in discrete population models ⋮ Global stability in difference equations satisfying the generalized Yorke condition ⋮ Advanced discrete Halanay-type inequalities: Stability of difference equations ⋮ New discrete type inequalities and global stability of nonlinear difference equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Introduction to functional differential equations
• Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation
• On a high order differential delay equation
• 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 spurious asymptotic numerical solutions of explicit Runge-Kutta methods
• Solution behaviour in a class of difference–differential equations