Existence and Successive Approximations of Mild Solution for Integro-differential Equations in Banach Spaces-Reference-Cited by-同舟云学术

Existence and Successive Approximations of Mild Solution for Integro-differential Equations in Banach Spaces

Published:2024-01-01 Issue:1 Volume:60 Page:44-55
ISSN:1841-3307
Container-title:Annals of West University of Timisoara - Mathematics and Computer Science
language:en
Short-container-title:

Author:

Bensatal Kattar Enada¹,Salim Abdelkrim²,Benchohra Mouffak¹

Affiliation:

1. Laboratory of Mathematics , Djillali Liabes University of Sidi Bel-Abbès , P.O. Box 89, Sidi Bel-Abbès 22000 , Algeria

2. Faculty of Technology , Hassiba Benbouali University , P.O. Box 151 Chlef 02000 , Algeria

Abstract

Abstract This paper discusses the global convergence of successive approximations methods for solving integro-differential equation via resolvent operators in Banach spaces. We prove a theorem on the global convergence of successive approximations to the unique solution of the problems. An example is given to show the application of our result.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/awutm-2024-0003

Reference28 articles.

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