Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations

We define the concept of discrete weighted pseudo-S-asymptotically periodic function and prove some basic results including composition theorem. We investigate the existence, and uniqueness of discrete weighted pseudo-S-asymptotically periodic solution to nonautonomous semilinear difference equation...

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Main Author:	Zhinan Xia
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	Discrete Dynamics in Nature and Society
Online Access:	http://dx.doi.org/10.1155/2014/949487

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spelling	doaj-0f7ce72194564ae3832fe7506fff25f02020-11-24T23:05:45ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/949487949487Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference EquationsZhinan Xia0Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, Zhejiang 310023, ChinaWe define the concept of discrete weighted pseudo-S-asymptotically periodic function and prove some basic results including composition theorem. We investigate the existence, and uniqueness of discrete weighted pseudo-S-asymptotically periodic solution to nonautonomous semilinear difference equations. Furthermore, an application to scalar second order difference equations is given. The working tools are based on the exponential dichotomy theory and fixed point theorem.http://dx.doi.org/10.1155/2014/949487
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zhinan Xia
spellingShingle	Zhinan Xia Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations Discrete Dynamics in Nature and Society
author_facet	Zhinan Xia
author_sort	Zhinan Xia
title	Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations
title_short	Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations
title_full	Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations
title_fullStr	Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations
title_full_unstemmed	Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations
title_sort	discrete weighted pseudo asymptotic periodicity of second order difference equations
publisher	Hindawi Limited
series	Discrete Dynamics in Nature and Society
issn	1026-0226 1607-887X
publishDate	2014-01-01
description	We define the concept of discrete weighted pseudo-S-asymptotically periodic function and prove some basic results including composition theorem. We investigate the existence, and uniqueness of discrete weighted pseudo-S-asymptotically periodic solution to nonautonomous semilinear difference equations. Furthermore, an application to scalar second order difference equations is given. The working tools are based on the exponential dichotomy theory and fixed point theorem.
url	http://dx.doi.org/10.1155/2014/949487
work_keys_str_mv	AT zhinanxia discreteweightedpseudoasymptoticperiodicityofsecondorderdifferenceequations
_version_	1725625885889921024

Discrete Weighted Pseudo Asymptotic Periodicity of Second Order Difference Equations

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