Existence of solution of infinite systems of singular integral equations of two variables in C(I × I, ℓp) with I = [0, T], T > 0 and 1 < p < ∞ using Hausdorff measure of noncompactness-Reference-Cited by-同舟云学术

Existence of solution of infinite systems of singular integral equations of two variables in C(I × I, ℓp) with I = [0, T], T > 0 and 1 < p < ∞ using Hausdorff measure of noncompactness

Published:2022 Issue:9 Volume:36 Page:3013-3023
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Das Anupam¹,Hazarika Bipan²,Sadarangani K.³

Affiliation:

1. Department of Mathematics, Cotton University, Panbazar, Guwahati, Assam, India

2. Department of Mathematics, Gauhati University, Guwahati, Assam, India

3. Department of Mathematics, University of Las Palmas de Gran Canaria, Campus de Tafira Baja, Las Palmas de Gran Canaria, Spain

Abstract

In this article, we discuss the solvability of infinite systems of singular integral equations of two variables in the Banach sequence spaces C(I ? I, ?p) with I = [0, T], T > 0 and 1 < p < ? with the help of Meir-Keeler condensing operators and Hausdorff measure of noncompactness. With an example, we illustrate our findings.

Publisher

National Library of Serbia

Subject

General Mathematics

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