Solvability of infinite system of integral equations of Hammerstein type in three variables in tempering sequence spaces c0β{c}_{0}^{\beta } and ℓ1β{\ell }_{1}^{\beta }

Autor: Simbeye Mesia, Kumar Santosh, Mursaleen M.
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Demonstratio Mathematica, Vol 57, Iss 1, Pp 552-566 (2024)
Druh dokumentu: article
ISSN: 2391-4661
DOI: 10.1515/dema-2024-0025
Popis: The objective of this study is to determine the criteria under which the infinite system of integral equations in three variables has a solution in the Banach tempering sequence space c0β{c}_{0}^{\beta } and ℓ1β{\ell }_{1}^{\beta }, utilizing the Meir-Keeler condensing operators. Our research builds upon the findings of Malik and Jalal. Furthermore, we provide illustrative examples to demonstrate the implications of our established conditions.
Databáze: Directory of Open Access Journals