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Impulsive semilinear neutral functional differential inclusions with multivalued jumps |
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| Authors: | Nadjet Abada Ravi P. Agarwal Mouffak Benchohra Hadda Hammouche |
| Affiliation: | 1.école Normale Supérieure, Département Sciences Exactes,Plateau Mansourah,Constantine,Algérie;2.Laboratoire Modelisation Mathématiques et Simulations,Université Mentouri,Constantine,Algérie;3.Department of Mathematical Sciences,Florida Institute of Technology,Melbourne,USA;4.Laboratoire de Mathématiques,Université de Sidi Bel Abbès,Sidi Bel Abbès,Algérie;5.Département de Mathématiques,Université Kasdi Merbah de Ouargla,Route de Ghardaia, Ouargla,Algérie |
| Abstract: | In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous and contraction operators. |
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