Neutral multivalued integro-differential evolution equations with infinite state-dependent delay

Authors

ABDELAZIZ MEBARKI
SELMA BAGHLI BENDIMERAD

Abstract

Our problem through this work is to give the existence of mild solutions for the first order class of neutral functional multivalued integro-differential evolution equations with infinite state-dependent delay using the nonlinear alternative of Frigon for multivalued contraction maps in Fréchet spaces combined with the semi-group theory.

DOI

10.3906/mat-2007-66

Keywords

Neutral integro-differential evolution inclusions, mild solution, state-dependent delay, fixed-point, semigroup theory, Fr\'echet spaces

First Page

2312

Last Page

2329

Recommended Citation

MEBARKI, A, & BENDIMERAD, S. B (2020). Neutral multivalued integro-differential evolution equations with infinite state-dependent delay. Turkish Journal of Mathematics 44 (6): 2312-2329. https://doi.org/10.3906/mat-2007-66