New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces

We study the local exponential stability of evolution difference systems with slowly varying coefficients and nonlinear perturbations. We establish the robustness of the exponential stability in infinite-dimensional Banach spaces, in the sense that the exponential stability for a given pseudolinear...

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Main Author:	Rigoberto Medina
Format:	Article
Language:	English
Published:	Hindawi Limited 2016-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2016/5098086

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spelling	doaj-2d22115d4080492fb9bda9659f11631a2020-11-24T22:48:56ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092016-01-01201610.1155/2016/50980865098086New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach SpacesRigoberto Medina0Departamento de Ciencias Exactas, Universidad de Los Lagos, Casilla 933, 5290000 Osorno, ChileWe study the local exponential stability of evolution difference systems with slowly varying coefficients and nonlinear perturbations. We establish the robustness of the exponential stability in infinite-dimensional Banach spaces, in the sense that the exponential stability for a given pseudolinear equation persists under sufficiently small perturbations. The main methodology is based on a combined use of new norm estimates for operator-valued functions with the “freezing” method.http://dx.doi.org/10.1155/2016/5098086
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Rigoberto Medina
spellingShingle	Rigoberto Medina New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces Abstract and Applied Analysis
author_facet	Rigoberto Medina
author_sort	Rigoberto Medina
title	New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces
title_short	New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces
title_full	New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces
title_fullStr	New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces
title_full_unstemmed	New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces
title_sort	new conditions for the exponential stability of pseudolinear difference equations in banach spaces
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2016-01-01
description	We study the local exponential stability of evolution difference systems with slowly varying coefficients and nonlinear perturbations. We establish the robustness of the exponential stability in infinite-dimensional Banach spaces, in the sense that the exponential stability for a given pseudolinear equation persists under sufficiently small perturbations. The main methodology is based on a combined use of new norm estimates for operator-valued functions with the “freezing” method.
url	http://dx.doi.org/10.1155/2016/5098086
work_keys_str_mv	AT rigobertomedina newconditionsfortheexponentialstabilityofpseudolineardifferenceequationsinbanachspaces
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New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces

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