Volume 8, Number 3, December 2007, pp. 397-415
Ravi P. Agarwal, Toka Diagana and Eduardo Hernández M.

Key words:
Weighted pseudo almost periodic, weighted pseudo almost periodic of class p, pseudo almost periodic, almost periodic, weight, Partial functional differential equations, scalar reaction-diffusion
Mathematices Subject Classification: Primary 35R10, 34K40, 47D09
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Copyright© 2007 Yokohama Publishers
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Abstract:
In this paper we obtain the existence and uniqueness of weighted pseudo almost periodic solutions to some partial neutral functional-differential equations. Our abstract results are, subsequently, applied to studying the existence of weighted pseudo almost periodic solutions to an integro-partial differential equation arising in control systems, a scalar reaction-diffusion equation with delay as well as a partial differential system related to the heat conduction.

Weighted pseudo almost periodic solutions to some partial neutral functional differential equations