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
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