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Ergodic and weighted pseudo-almost periodic solutions for partial functional differential equations in fading memory spaces |
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| Authors: | Mostafa Adimy Khalil Ezzinbi Catherine Marquet |
| Institution: | 1. Dracula team, INRIA Rh?ne-Alpes, Lyon, France 2. Institut Camille Jordan, UMR 5208, Université Lyon 1, 43 Bd. du 11 novembre 1918, 69200, Villeurbanne cedex, France 3. Département de Mathématiques, Faculté des Sciences Semlalia, Université Cadi Ayyad, B.P. 2390, Marrakesh, Morocco 4. Laboratoire de Mathématiques Appliquées, CNRS UMR 5142, Université de Pau, Avenue de l’Université, 64000, Pau, France |
| 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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