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

Authors

ABDELAZIZ MEBARKI
SELMA BAGHLI BENDIMERAD

DOI

10.3906/mat-2007-66

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.

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, ABDELAZIZ and BENDIMERAD, SELMA BAGHLI (2020) "Neutral multivalued integro-differential evolution equations with infinite state-dependent delay," Turkish Journal of Mathematics: Vol. 44: No. 6, Article 25. https://doi.org/10.3906/mat-2007-66
Available at: https://journals.tubitak.gov.tr/math/vol44/iss6/25