# Existence results for some neutral functional integrodifferential equations with bounded delay

## Abstract

In this paper, we study a class of neutral functional integrodifferential equations with finite delay in Banach spaces. We are interested in the global existence, uniqueness of mild solutions with values in the Banach space and in its subspace $$D(A)$$. The results are based on Banach’s and Schauder’s fixed point theorems and on the technique of equivalent norms. As an application, we consider a diffusion neutral functional integrodifferential equation

## Authors

Sylvain Koumla
Department of Mathematics, Faculty of Science and Techniques, Adam Barka University, Abéché, Chad

Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

Abdou Sene
Department of Mathematics, Virtual University of Dakar, Senegal

## Keywords

Mild solution; functional integrodifferential equation; neutral equation; semigroup of bounded linear operators; infinitesimal generator; finite delay

## Paper coordinates

S. Koumla, R. Precup, A. Sene, Existence results for some neutral functional integrodifferential equations with bounded delay, Turk. J. Math. 43 (2019), no. 4, 1809-1822, https://doi.org/10.3906/mat-1807-37

## PDF

##### Journal

Turkish Journal of Mathematics

TUBITAK

13000098