Electron. J. Diff. Equ., Vol. 2015 (2015), No. 185, pp. 1-18.

Piecewise weighted pseudo almost periodic solutions of impulsive integro-differential equations via fractional operators

Zhinan Xia, Dingjiang Wang

Abstract:
In this article, we show sufficient conditions for the existence, uniqueness and attractivity of piecewise weighted pseudo almost periodic classical solution of nonlinear impulsive integro-differential equations. The working tools are based on the fixed point theorem and fractional powers of operators. An application to impulsive integro-differential equations is presented.

Submitted October 7, 2014. Published July 10, 2015.
Math Subject Classifications: 35R12, 35B15.
Key Words: Impulsive integro-differential equation; pseudo almost periodicity; fractional powers of operators; classical solution.

Show me the PDF file (268 KB), TEX file, and other files for this article.

Zhinan Xia
Department of Applied Mathematics
Zhejiang University of Technology
Hangzhou, Zhejiang 310023, China
email: xiazn299@zjut.edu.cn
Dingjiang Wang
Department of Applied Mathematics
Zhejiang University of Technology
Hangzhou, Zhejiang 310023, China
email: wangdingj@126.com

Return to the EJDE web page