Existence of Pseudo-Almost Automorphic Solutions for Nonlinear Differential Equations

Existence of Pseudo-Almost Automorphic Solutions for Nonlinear Differential Equations

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摘要 In this paper, we discuss the existence of pseudo-almost automorphic solutions to linear differential equation which has an exponential trichotomy~ and the results also hold for some nonlinear equations with the form x＇（t） = f（t,x（t））＋ λg（t,x（t））, where f,g are pseudo-almost automorphic functions. We prove our main result by the application of Leray-Schauder fixed point theorem. In this paper, we discuss the existence of pseudo-almost automorphic solutions to linear differential equation which has an exponential trichotomy~ and the results also hold for some nonlinear equations with the form x＇（t） = f（t,x（t））＋ λg（t,x（t））, where f,g are pseudo-almost automorphic functions. We prove our main result by the application of Leray-Schauder fixed point theorem.

作者 Lan LI YAN WANG

机构地区 College of Mathematics and Computational Science School of Mathematical Sciences

出处《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2014年第4期977-988,共12页 应用数学学报（英文版）

基金 supported by the National Natural Science Foundation of China under Grant No.11126070 and 11201309 the Natural Science Foundation of SZU(201111) supported the National Natural Science Foundation of China under Grant No.11026168 and 11201046 the Fundamental Research Funds for the Central Universities in China(DUT12LK32,DUT13JS02)

关键词 Pseudo-almost automorphic exponential trichotomy Leray-Schauder fixed point theorem Pseudo-almost automorphic exponential trichotomy Leray-Schauder fixed point theorem

分类号 O175 [理学—基础数学]

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Existence of Pseudo-Almost Automorphic Solutions for Nonlinear Differential Equations

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