On global dynamics in a periodic differential equation with deviating argument

DOI10.1016/j.amc.2014.12.015zbMath1338.34126OpenAlexW2054900172WikidataQ115361402 ScholiaQ115361402MaRDI QIDQ298752

Anatoli F. Ivanov, Sergei I. Trofimchuk

Publication date: 21 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.12.015

zbMATH Keywords

periodic solutionsinterval mapsglobal dynamicsdiscretizationsdiscrete mapsperiodic equations

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Dynamical systems involving maps of the interval (37E05)

Related Items (2)

Global Asymptotic Stability in a Non-autonomous Difference Equation ⋮ On global dynamics in a multi-dimensional discrete map

Cites Work

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• On approximation of the solutions of delay differential equations by using piecewise constant arguments
• A nonlinear equation with piecewise continuous argument
• Differential-difference equations
• On the abundance of aperiodic behaviour for maps on the interval
• Almost periodic solutions of Lasota-Wazewska-type delay differential equation
• Introduction to functional differential equations
• Numerical approximation of the solutions of delay differential equations on an infinite interval using piecewise constant arguments
• Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation
• Delay equations. Functional-, complex-, and nonlinear analysis
• Recent advances about the uniqueness of the slowly oscillating periodic solutions of Wright's equation
• On numerical approximation using differential equations with piecewise-constant arguments
• Periodic solutions and their stability of a differential-difference equation
• Global stability in discrete population models with delayed-density dependence
• Periodic solutions of differential equations with a general piecewise constant argument and applications
• On the discretization of a delay differential equation
• Periodic solutions of a discretized differential delay equation
• Applied Delay Differential Equations
• An Introduction to Delay Differential Equations with Applications to the Life Sciences
• A non-linear difference-differential equation.
• Global attractivity for a logistic equation with piecewise constant argument

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