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Journal Articles Journal of Applied Mathematics and Computing Year : 2014

Ergodic and weighted pseudo-almost periodic solutions for partial functional differential equations in fading memory spaces

Abstract

We use a new concept of weighted ergodic function based on the measure theory to investigate the existence and uniqueness of weighted pseudo almost periodic solution for a class of partial functional differential equations with infinite delay in fading memory spaces. We illustrate our theoretical results by studying some Lotka-Voltera reaction-diffusion systems with infinite delay.
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hal-00846883 , version 1 (22-07-2013)

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Mostafa Adimy, Khalil Ezzinbi, Catherine Marquet. Ergodic and weighted pseudo-almost periodic solutions for partial functional differential equations in fading memory spaces. Journal of Applied Mathematics and Computing, 2014, 44 (1-2), pp.19. ⟨10.1007/s12190-013-0686-9⟩. ⟨hal-00846883⟩
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