Discrete Weighted Pseudo Almost Automorphic Solutions of Nonautonomous Difference Equations

We introduce the concept of a discrete weighted pseudo almost automorphic function and prove some basic results. Further, we investigate the nonautonomous linear and semilinear difference equations and obtain the weighted pseudo almost automorphic solutions of both these kinds of difference equation...

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Main Authors: Xiaoqing Wen, Hongwei Yin
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2016/5827483
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author Xiaoqing Wen
Hongwei Yin
author_facet Xiaoqing Wen
Hongwei Yin
author_sort Xiaoqing Wen
collection DOAJ
description We introduce the concept of a discrete weighted pseudo almost automorphic function and prove some basic results. Further, we investigate the nonautonomous linear and semilinear difference equations and obtain the weighted pseudo almost automorphic solutions of both these kinds of difference equations, respectively. Our results generalize the ones by Lizama and Mesquita (2013).
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institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2016-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-c7fa03789fd84f5ea13060945da0d2e02025-02-03T05:52:18ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/58274835827483Discrete Weighted Pseudo Almost Automorphic Solutions of Nonautonomous Difference EquationsXiaoqing Wen0Hongwei Yin1School of Sciences, Nanchang University, Nanchang 330031, ChinaSchool of Sciences, Nanchang University, Nanchang 330031, ChinaWe introduce the concept of a discrete weighted pseudo almost automorphic function and prove some basic results. Further, we investigate the nonautonomous linear and semilinear difference equations and obtain the weighted pseudo almost automorphic solutions of both these kinds of difference equations, respectively. Our results generalize the ones by Lizama and Mesquita (2013).http://dx.doi.org/10.1155/2016/5827483
spellingShingle Xiaoqing Wen
Hongwei Yin
Discrete Weighted Pseudo Almost Automorphic Solutions of Nonautonomous Difference Equations
Discrete Dynamics in Nature and Society
title Discrete Weighted Pseudo Almost Automorphic Solutions of Nonautonomous Difference Equations
title_full Discrete Weighted Pseudo Almost Automorphic Solutions of Nonautonomous Difference Equations
title_fullStr Discrete Weighted Pseudo Almost Automorphic Solutions of Nonautonomous Difference Equations
title_full_unstemmed Discrete Weighted Pseudo Almost Automorphic Solutions of Nonautonomous Difference Equations
title_short Discrete Weighted Pseudo Almost Automorphic Solutions of Nonautonomous Difference Equations
title_sort discrete weighted pseudo almost automorphic solutions of nonautonomous difference equations
url http://dx.doi.org/10.1155/2016/5827483
work_keys_str_mv AT xiaoqingwen discreteweightedpseudoalmostautomorphicsolutionsofnonautonomousdifferenceequations
AT hongweiyin discreteweightedpseudoalmostautomorphicsolutionsofnonautonomousdifferenceequations