Existence and stability of almost periodic solutions to differential equations with piecewise constant arguments

This work concerns the existence of almost periodic solutions for certain differential equations with piecewise constant arguments. The coefficients of these equations are almost periodic and the equation can be seen as perturbations of a linear equation satisfying an exponential dichotomy on...

Full description

Bibliographic Details
Main Authors:	Samuel Castillo, Manuel Pinto
Format:	Article
Language:	English
Published:	Texas State University 2015-03-01
Series:	Electronic Journal of Differential Equations
Subjects:	Piecewise constant argument lmost periodic solutions exponential dichotomy stability of solutions
Online Access:	http://ejde.math.txstate.edu/Volumes/2015/58/abstr.html

id	doaj-609eae7b35fd4dcba7b15126078db06e
record_format	Article
spelling	doaj-609eae7b35fd4dcba7b15126078db06e2020-11-25T00:22:27ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-03-01201558,115Existence and stability of almost periodic solutions to differential equations with piecewise constant argumentsSamuel Castillo0Manuel Pinto1 Univ. del Bio-Bio, Concepcion, Chile Univ. de Chile, Santiago, Chile This work concerns the existence of almost periodic solutions for certain differential equations with piecewise constant arguments. The coefficients of these equations are almost periodic and the equation can be seen as perturbations of a linear equation satisfying an exponential dichotomy on a difference equation. The stability of that solution on a semi-axis is also studied.http://ejde.math.txstate.edu/Volumes/2015/58/abstr.htmlPiecewise constant argumentlmost periodic solutionsexponential dichotomystability of solutions
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Samuel Castillo Manuel Pinto
spellingShingle	Samuel Castillo Manuel Pinto Existence and stability of almost periodic solutions to differential equations with piecewise constant arguments Electronic Journal of Differential Equations Piecewise constant argument lmost periodic solutions exponential dichotomy stability of solutions
author_facet	Samuel Castillo Manuel Pinto
author_sort	Samuel Castillo
title	Existence and stability of almost periodic solutions to differential equations with piecewise constant arguments
title_short	Existence and stability of almost periodic solutions to differential equations with piecewise constant arguments
title_full	Existence and stability of almost periodic solutions to differential equations with piecewise constant arguments
title_fullStr	Existence and stability of almost periodic solutions to differential equations with piecewise constant arguments
title_full_unstemmed	Existence and stability of almost periodic solutions to differential equations with piecewise constant arguments
title_sort	existence and stability of almost periodic solutions to differential equations with piecewise constant arguments
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2015-03-01
description	This work concerns the existence of almost periodic solutions for certain differential equations with piecewise constant arguments. The coefficients of these equations are almost periodic and the equation can be seen as perturbations of a linear equation satisfying an exponential dichotomy on a difference equation. The stability of that solution on a semi-axis is also studied.
topic	Piecewise constant argument lmost periodic solutions exponential dichotomy stability of solutions
url	http://ejde.math.txstate.edu/Volumes/2015/58/abstr.html
work_keys_str_mv	AT samuelcastillo existenceandstabilityofalmostperiodicsolutionstodifferentialequationswithpiecewiseconstantarguments AT manuelpinto existenceandstabilityofalmostperiodicsolutionstodifferentialequationswithpiecewiseconstantarguments
_version_	1725359744095354880

Existence and stability of almost periodic solutions to differential equations with piecewise constant arguments

Similar Items