Department of Applied Mathematics
Zhejiang University of Technology
Hangzhou, Zhejiang, 310023, China
email: xiazn299@zjut.edu.cn
Zhinan Xia
Abstract:
In this article, we introduced and explore the properties of
two sets of functions: weighted pseudo periodic functions of class r,
and weighted Stepanov-like pseudo periodic functions of class r.
We show the existence and uniqueness of weighted pseudo periodic solution
of class r that are solutions to neutral functional
differential equations. Other applications to partial differential equations
and scalar reaction-diffusion equations with delay are also given.
Submitted March 6, 2014. Published September 16, 2014.
Math Subject Classifications: 35R10, 35B40.
Key Words: Weighted pseudo periodicity; weighted Stepanov-like pseudo periodic;
neutral functional differential equation;
Banach contraction mapping principle.
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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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