Kuratowski measure of noncompactness and integro-differential equations in Banach spaces

The Journal of Nonlinear Sciences and its Applications

article

Mariam B Traore¹  Ouateni Diallo¹  Mamadou Abdoul Diop² 

[1] Des Techniques et des Technologies de Bamako, Ecole Doctorale des Sciences et Technologies du Mali, Universite des Sciences;Departement de Mathematiques, Universite Gaston Berger de Saint-Louis

关键词: Integro-differential equation;    mild solution;    fixed point;    Kuratowski measure of noncompactness;    resolvent operator;   

DOI  :  10.22436/jnsa.014.02.06

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

This paper focuses on the existence of mild solutions in Banach space for a first order semi-linear integro-differential equation. The results are achieved with the fixed-point theorem and Kuratowski measure of noncompactness. We conclude this study with an example to illustrate our findings.

【 授权许可】

Unknown