Instantaneous and Noninstantaneous Impulsive Integrodifferential Equations in Banach Spaces

Author:

Abbas Saïd1ORCID,Benchohra Mouffak2ORCID,N'Guérékata Gaston M.3ORCID

Affiliation:

1. Department of Mathematics, Tahar Moulay University of Saida, P.O. Box 138, EN-Nasr, 20000 Saida, Algeria

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

3. Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore MD 21252, USA

Abstract

This paper deals with some existence of mild solutions for two classes of impulsive integrodifferential equations in Banach spaces. Our results are based on the fixed point theory and the concept of measure of noncompactness with the help of the resolvent operator. Two illustrative examples are given in the last section.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Approximate Controllability and Ulam Stability for Second-Order Impulsive Integrodifferential Evolution Equations with State-Dependent Delay;International Journal of Differential Equations;2024-03-29

2. Existence and Successive Approximations of Mild Solution for Integro-differential Equations in Banach Spaces;Annals of West University of Timisoara - Mathematics and Computer Science;2024-01-01

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5. Existence and Ulam-Hyers-Rassias stability of mild solutions for impulsive integro-differential systems via resolvent operators;Mathematical Foundations of Computing;2023

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