Solutions of an infinite system of integral equations of Volterra-Stieltjes type in the sequence spaces $\ell_{p} (1<p<\infty)$ and $c_{0}$

Solutions of an infinite system of integral equations of Volterra-Stieltjes type in the sequence spaces $\ell_{p} (1<p<\infty)$ and $c_{0}$

In this paper, by applying the technique of measure of noncompactness and a new generalization of Darbo’s theorem, we study the existence of solutions for an infinite system of integral equations in two variables. The obtained results extend and generalize some related results in previous work. Fina...

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Bibliographic Details
Main Authors: Ayub Samadi, M. Mosaee Avini, M. Mursaleen
Format: Article
Language:English
Published: AIMS Press 2020-05-01
Series:AIMS Mathematics
Subjects:
banach spaces $\ell_{p}$ and $c_{0}$
darbo's fixed point theorem
measure of noncompactness
integral equations
Online Access:https://www.aimspress.com/article/10.3934/math.2020246/fulltext.html

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https://www.aimspress.com/article/10.3934/math.2020246/fulltext.html

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