Electron. J. Diff. Equ.,
Vol. 2014 (2014), No. 191, pp. 117.
Weighted pseudo periodic solutions of neutral functional differential equations
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 Stepanovlike 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 reactiondiffusion 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 Stepanovlike 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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