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