Periodic solutions of certain differential equations with piecewise constant argument
type: Item
instance of: scholarly article
title: Periodic solutions of certain differential equations with piecewise constant argument
zbMATH Open document ID: 1417.39043
DOI: 10.1155/2015/828952
author: James Guyker
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2018-05-25T00:00:00Z
review text: Summary: Existence criteria are derived for the eventually periodic solutions of a class of differential equations with piecewise constant argument whose solutions at consecutive integers satisfy nonlinear recurrence relations. The proof characterizes the initial values of periodic solutions in terms of the coefficients of the resulting difference equations. Sufficient conditions for the unboundedness, boundedness, and symmetry of general solutions also follow from the corresponding properties of the difference equations.
Mathematics Subject Classification ID: 39A23
Mathematics Subject Classification ID: 39A22
Mathematics Subject Classification ID: 34C25
zbMATH DE Number: 6873267
zbMATH Keywords: periodic solutions
zbMATH Keywords: unboundedness
zbMATH Keywords: boundedness
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/828952
OpenAlex ID: W1608678969
Wikidata QID: Q59109860
cites work: Advanced differential equations with piecewise constant argument deviations
cites work: Retarded differential equations with piecewise constant delays
cites work: Oscillatory and Periodic Solutions of Delay Differential Equations with Piecewise Constant Argument
cites work: First order differential equations with piecewise constant arguments and nonlinear boundary value conditions
cites work: Almost-periodic-type solutions of some differential equations with piecewise constant argument
cites work: Existence theorem of periodic solutions for a delay nonlinear differential equation with piecewise constant arguments
cites work: The existence of almost periodic solutions of retarded differential equations with piecewise constant argument
cites work: Periodic orbits on discrete dynamical systems
cites work: All solutions of a class of difference equations are truncated periodic
cites work: Eventually periodic solutions for difference equations with periodic coefficients and nonlinear control functions
cites work: Periodic solutions of difference equations.
cites work: Convergence and periodicity of solutions for a class of delay difference equations
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description: scientific article; zbMATH DE number 6873267