Existence results for some partial functional differential equations with state-dependent delay |
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| Authors: | Mohammed Belmekki Mouffak Benchohra Khalil Ezzinbi |
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| Affiliation: | 1. Département de Mathématiques, Université de Saïda, BP 138, 20000 Saïda, Algérie;2. Laboratoire de Mathématiques, Université de Sidi Bel Abbès, BP 89, 22000 Sidi Bel Abbès, Algérie;3. Département de Mathématiques, Faculté des Sciences Semlalia, B.P.2390, Marrakech, Morocco |
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| Abstract: | In this paper, we establish sufficient conditions for the existence of solutions for some partial functional differential equations with state-dependent delay; we assume that the linear part is not necessarily densely defined and satisfies the well-known Hille–Yosida conditions. Our approach is based on a nonlinear alternative of Leray–Schauder type and integrated semigroup theory. An application is provided to a reaction–diffusion equation with state-dependent delay. |
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