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

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, ℓp) 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.