Existence of Pseudo-Almost Automorphic Solutions for Nonlinear Differential Equations  

作　　者：Lan LI YAN WANG 

机构地区：[1]College of Mathematics and Computational Science,Shenzhen University [2]School of Mathematical Sciences,Dalian University of Technology

出　　处：《Acta Mathematicae Applicatae Sinica》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)

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.

关 键 词：Pseudo-almost automorphic exponential trichotomy Leray-Schauder fixed point theorem 

分 类 号：O175[理学—数学]