EXISTENCE AND UNIQUENESS OF WEIGHTED PSEUDO ALMOST AUTOMORPHIC SEQUENCE SOLUTIONS TO SOME SEMILINEAR DIFFERENCE EQUATIONS

EXISTENCE AND UNIQUENESS OF WEIGHTED PSEUDO ALMOST AUTOMORPHIC SEQUENCE SOLUTIONS TO SOME SEMILINEAR DIFFERENCE EQUATIONS

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摘要 In this paper, we consider a semilinear difference equation in a Banach space. Under some suitable conditions on f, we prove the existence and uniqueness of a weighted pseudo almost automorphic sequence solution to the equation. In this paper, we consider a semilinear difference equation in a Banach space. Under some suitable conditions on f, we prove the existence and uniqueness of a weighted pseudo almost automorphic sequence solution to the equation.

作者 Xiliang Li , Xidong Sun (Dept. of Math. and Information Sciences, Shandong Institute of Business and Technology, Yantai 264005, Shandong)

出处《Annals of Differential Equations》 2011年第2期183-189,共7页 微分方程年刊（英文版）

基金 supported by Tianyuan Youth Foundations for Mathematics of NSFC (Grant No.11026150, 11026098) the Doctor Scientific Research Foundation of Shandong Institute of Business and Technology (Grant No.521-014-306131)

关键词 pseudo almost automorphy weighted pseudo almost automorphic sequence semilinear difference equations pseudo almost automorphy weighted pseudo almost automorphic sequence semilinear difference equations

分类号 O175.7 [理学—基础数学]

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EXISTENCE AND UNIQUENESS OF WEIGHTED PSEUDO ALMOST AUTOMORPHIC SEQUENCE SOLUTIONS TO SOME SEMILINEAR DIFFERENCE EQUATIONS

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