Discontinuous almost periodic type functions, almost automorphy of solutions of differential equations with discontinuous delay and applications

In this work, using discontinuous almost periodic type functions, exponential dichotomy and the notion of Bi-almost automorphicity we give sufficient conditions to obtain a unique almost automorphic solution of a quasilinear system of differential equations with piecewise constant arguments. Finally...

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Main Authors:	Alan Chávez, Samuel Castillo, Manuel Pinto
Format:	Article
Language:	English
Published:	University of Szeged 2015-01-01
Series:	Electronic Journal of Qualitative Theory of Differential Equations
Subjects:	almost automorphic functions difference equations differential equation with piecewise constant argument exponential dichotomy
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3340

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spelling	doaj-82e21f10fab84477acbfbbb75a90de912021-07-14T07:21:26ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752015-01-0120147511710.14232/ejqtde.2014.1.753340Discontinuous almost periodic type functions, almost automorphy of solutions of differential equations with discontinuous delay and applicationsAlan Chávez0Samuel Castillo1Manuel Pinto2Universidad de Chile. Facultad de Ciencias. Departamento de Matemática. Las Palmeras 3425. Ñuñoa. SantiagoUniversidad del Bío-Bío. Facultad de Ciencias. Departamento de Matemática. Collao 1202. ConcepciónUniversidad de Chile, Santiago, ChileIn this work, using discontinuous almost periodic type functions, exponential dichotomy and the notion of Bi-almost automorphicity we give sufficient conditions to obtain a unique almost automorphic solution of a quasilinear system of differential equations with piecewise constant arguments. Finally, an application to the Lasota–Wazewska model with piecewise constant delayed argument is given.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3340almost automorphic functionsdifference equationsdifferential equation with piecewise constant argumentexponential dichotomy
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Alan Chávez Samuel Castillo Manuel Pinto
spellingShingle	Alan Chávez Samuel Castillo Manuel Pinto Discontinuous almost periodic type functions, almost automorphy of solutions of differential equations with discontinuous delay and applications Electronic Journal of Qualitative Theory of Differential Equations almost automorphic functions difference equations differential equation with piecewise constant argument exponential dichotomy
author_facet	Alan Chávez Samuel Castillo Manuel Pinto
author_sort	Alan Chávez
title	Discontinuous almost periodic type functions, almost automorphy of solutions of differential equations with discontinuous delay and applications
title_short	Discontinuous almost periodic type functions, almost automorphy of solutions of differential equations with discontinuous delay and applications
title_full	Discontinuous almost periodic type functions, almost automorphy of solutions of differential equations with discontinuous delay and applications
title_fullStr	Discontinuous almost periodic type functions, almost automorphy of solutions of differential equations with discontinuous delay and applications
title_full_unstemmed	Discontinuous almost periodic type functions, almost automorphy of solutions of differential equations with discontinuous delay and applications
title_sort	discontinuous almost periodic type functions, almost automorphy of solutions of differential equations with discontinuous delay and applications
publisher	University of Szeged
series	Electronic Journal of Qualitative Theory of Differential Equations
issn	1417-3875 1417-3875
publishDate	2015-01-01
description	In this work, using discontinuous almost periodic type functions, exponential dichotomy and the notion of Bi-almost automorphicity we give sufficient conditions to obtain a unique almost automorphic solution of a quasilinear system of differential equations with piecewise constant arguments. Finally, an application to the Lasota–Wazewska model with piecewise constant delayed argument is given.
topic	almost automorphic functions difference equations differential equation with piecewise constant argument exponential dichotomy
url	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=3340
work_keys_str_mv	AT alanchavez discontinuousalmostperiodictypefunctionsalmostautomorphyofsolutionsofdifferentialequationswithdiscontinuousdelayandapplications AT samuelcastillo discontinuousalmostperiodictypefunctionsalmostautomorphyofsolutionsofdifferentialequationswithdiscontinuousdelayandapplications AT manuelpinto discontinuousalmostperiodictypefunctionsalmostautomorphyofsolutionsofdifferentialequationswithdiscontinuousdelayandapplications
_version_	1721303612391424000

Discontinuous almost periodic type functions, almost automorphy of solutions of differential equations with discontinuous delay and applications

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