Thursday, 21 October 2021

Global Existence for some Neutral Functional Integrodifferential Equations with Finite Delay | Chapter 14 | Recent Advances in Mathematical Research and Computer Science Vol. 1

In this paper, we look at a family of neutral partial functional integrodifferential equations in Banach spaces that have a finite delay. The worldwide existence, uniqueness, and regularity of solutions with values in the subspace D are of interest to us (A). The technique is based on Banach's fixed point theorem and the graph norm technique. The nonlinear term is regarded as a perturbation of the linear equation in our research. We use a diffusive neutral partial functional integrodifferential equation as an example.

Author (S) Details

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.


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