Global Existence for some Neutral Functional Integrodifferential Equations with Finite Delay

Authors

  • Sylvain Koumla Departement de Mathematiques, Faculty des Sciences et Techniques, University Adam Barka, B.P. 1117, Abeche, Tchad.
  • Djaokamla Temga Departement de Mathematiques, Faculty des Sciences et Techniques, University Adam Barka, B.P. 1117, Abeche, Tchad.
  • Abdou Sene Departement de Mathematiques, University Virtuelle de Dakar, Senegal.

DOI:

https://doi.org/10.9734/bpi/ramrcs/v1/3534F

Keywords:

Mild solutions, strict solutions, functional integrodifferential equations, neutral equations, semigroup of bounded linear operators, infinitesimal generator, finite delay, phase space

Abstract

In this paper, we study a class of neutral partial functional integrodifferential equations with finite delay in Banach spaces. We are interested in the global existence, uniqueness and regularity of solutions with values in the subspace D(A) . The method used are based on Banach’s fixed point theorem and on the technique of the graph norm. In our work the nonlinear term is treated as a perturbation of the linear equation. As an application, we consider a diffusive neutral partial functional integrodifferential equation.

Published

2021-10-15

How to Cite

Sylvain Koumla, Djaokamla Temga, & Abdou Sene. (2021). Global Existence for some Neutral Functional Integrodifferential Equations with Finite Delay. Recent Advances in Mathematical Research and Computer Science Vol. 1, 150–161. https://doi.org/10.9734/bpi/ramrcs/v1/3534F

Issue

Recent Advances in Mathematical Research and Computer Science Vol. 1

Section

Chapters