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Necessary and sufficient conditions for the regularity and stability for some partial functional differential equations with infinite delay |
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| Authors: | Khalil Ezzinbi Aziz Ouhinou |
| Institution: | Université Cadi Ayyad, Faculté des Sciences Semlalia, Département de Mathématiques, B.P. 2390 Marrakesh, Morocco |
| Abstract: | In this work we give necessary and sufficient conditions for the regularity and stability of solutions for some partial functional differential equations with infinite delay. We establish also a new characterization of the infinitesimal generator of the solution semigroup. |
| Keywords: | Hille&ndash Yosida operator Integrated semigroups Semigroups Integral and strict solutions Uniform fading memory space Essential spectrum |
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