文章基本信息

标题：Almost Automorphic Solutions of Difference Equations
本地全文：下载
作者：Daniela Araya ; Rodrigo Castro ; Carlos Lizama 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2009
卷号：2009
期号：1
页码：591380
DOI：10.1155/2009/591380
语种：English
出版社：Hindawi Publishing Corporation
摘要：We study discrete almost automorphic functions (sequences) defined on the set of integers with values in a Banach space . Given a bounded linear operator defined on and a discrete almost automorphic function , we give criteria for the existence of discrete almost automorphic solutions of the linear difference equation . We also prove the existence of a discrete almost automorphic solution of the nonlinear difference equation assuming that is discrete almost automorphic in for each , satisfies a global Lipschitz type condition, and takes values on .
关键词：Banach Space ; Difference Equation ; Mild Solution ; Continuous Case ; Automorphic Function