Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
838024 | Nonlinear Analysis: Real World Applications | 2011 | 9 Pages |
Abstract
In this paper, we study the existence and uniqueness of a weighted pseudo-almost automorphic solution for some nonhomogeneous partial functional differential equations. We use the variation of constants formula developed in Ezzinbi and N’Guérékata (2007) [11] and the spectral decomposition of the phase space to show the main result of this work. To illustrate our main result, we study the existence and uniqueness of a weighted pseudo-almost automorphic solution for some diffusion equations with delay.
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Authors
Nadira Boukli-Hacene, Khalil Ezzinbi,