Existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:246

Article

Abada, Nadjet²  Benchohra, Mouffak¹  Hammouche, Hadda³ 

[1] Univ Djillali Liabes Sidi Bel Abbes, Math Lab, Sidi Bel Abbes 22000, Algeria

[2] Univ Mentouri Constantine, Dept Math, Constantine, Algeria

[3] Univ Kasdi Merbah Ouargla, Dept Math, Ouargla, Algeria

关键词: Nondensely defined operator;    Impulsive semilinear differential inclusion;    Fixed point;    Integral solutions;    Extremal solution;    Controllability;   

DOI  :  10.1016/j.jde.2009.03.004

来源: Elsevier

【 摘 要 】

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. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free