Original scientific paper

Measure pseudo affine-periodic solutions of semilinear differential equations

Zhinan Xia ; Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, Zhejiang, China
Zihui Li ; Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, Zhejiang, China
Dingjiang Wang ; Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, Zhejiang, China

Abstract

n this paper, we introduce the concept of pseudo affine-periodic functionvia measure theory, that is measure pseudo (Q, T)-affine-periodic function.Existence, uniqueness of measure pseudo (Q, T)-affine-periodic solutionfor semilinear differential equations are investigated.The working tools are based on the Banach contraction mapping principleand Leray-Schauder alternative theorem.Finally, an example is presented to illustrate the main findings.

Keywords

Measure pseudo affine-periodic function; measure theory; exponential dichotomy; Banach contraction mapping principle; Leray-Schauder alternative theorem

Hrčak ID:

198693

URI

https://hrcak.srce.hr/198693

Publication date:

7.11.2018.

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