Existence Results for Impulsive Multivalued Semilinear Neutral Functional Differential Inclusions in Banach Spaces

By Mouffak Benchohra, J. Henderson, Sotiris K. Ntouyas. 2001

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In this paper, the existence of mild solutions for first- and second-order impulsive semilinear neutral functional differential inclusions in Banach spaces is investigated. The results are obtained by using a fixed point theorem for condensing multivalued maps due to Martelli and semigroup theory.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b14dc7e272ad1b8684f959bcfc57ae6e2babe7f5