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Existence and stability for some partial neutral functional differential equations with infinite delay |
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| Authors: | Mostafa Adimy Hassane Bouzahir Khalil Ezzinbi |
| Affiliation: | a Département de Mathématiques Appliquées, IPRA, Université de Pau, Avenue de l'université, 64000 Pau, France b Université Ibn Zohr, Ecole Nationale des Sciences Appliquées, B.P. 33/S Agadir, Morocco c Université Cadi Ayyad, Faculté des Sciences Semlalia, Département de Mathématiques, B.P. 2390 Marrakesh, Morocco |
| Abstract: | In this paper, we study a class of partial neutral functional differential equations with infinite delay. We suppose that the linear part is not necessarily densely defined but satisfies the resolvent estimates of the Hille-Yosida theorem. We give some sufficient conditions ensuring the existence, uniqueness and regularity of solutions. A principle of linearized stability is also established in the autonomous case. To illustrate our abstract results, we conclude this work by an example. |
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