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Existence of solutions of infinite systems of nonlinear functional integral equations of $N$ -variables in $C (I \times I \times \dots \times I, m (ϕ))$

Hojjatollah Amiri Kayvanloo

Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

E-mail Address: amiri.hojjat93@mshdiau.ac.ir

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and

Reza Allahyari

Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

E-mail Address: rezaallahyari@mshdiau.ac.ir

Corresponding author.

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https://doi.org/10.1142/S1793557121501473Cited by:1 (Source: Crossref)

Abstract

The aim of this paper is to investigate the solvability of infinite systems of nonlinear functional integral equations of $N$ -variables in $C (I \times I \times \dots \times I, m (ϕ))$ by using the Hausdorff measure of noncompactness with the help of Meir–Keeler condensing operators. We also provide an illustrative example in support of our existence theorems.

Communicated by N-C Wong

Keywords:

AMSC: 47H08, 47H10, 45E10, 30C30

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