Existence of Weighted Pseudo Almost Periodic Solutions for some Partial Differential Equations with Delay

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 131)

Abstract

In this work, sufficient conditions are derived to get the existence and uniqueness of a weighted pseudo almost periodic solutions for some partial functional differential equations in hyperbolic case. To illustrate our main result, we study the existence of a weighted pseudo almost periodic solution for some diffusion equation with delay.

Keywords

Partial functional differential equation Hyperbolic semigroup Weighted pseudo almost periodic solution 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Département de MathématiquesUniversité de TlemcenTlemcenAlgérie
  2. 2.Faculté des Sciences Semlalia, Département de MathématiquesUniversité Cadi AyyadMarrakechMorocco

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