Existence of Pseudo-Almost Automorphic Solutions for Nonlinear Differential Equations

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作者
Lan LI [1 ]
YAN WANG [2 ]
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[1] College of Mathematics and Computational Science,Shenzhen University
[2] School of Mathematical Sciences,Dalian University of Technology
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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.
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页数:12
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