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Existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions |
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| Authors: | Nadjet Abada Hadda Hammouche |
| Affiliation: | a Département de Mathématiques, Université Mentouri de Constantine, Algeria b Laboratoire de Mathématiques, Université de Sidi Bel Abbès, BP 89, 22000 Sidi Bel Abbès, Algeria c Département de Mathématiques, Université Kasdi Merbah de Ouargla, Algeria |
| Abstract: | In this paper, we shall establish sufficient conditions for the existence of integral solutions and extremal integral solutions for some nondensely defined impulsive semilinear functional differential inclusions in separable Banach spaces. We shall rely on a fixed point theorem for the sum of completely continuous and contraction operators. The question of controllability of these equations and the topological structure of the solutions set are considered too. |
| Keywords: | 34A37 34A60 34G25 34K30 34K35 34K45 93B05 |
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