Treatment of a Coupled System for Quadratic Functional Integral Equation on the Real Half-Line via Measure of Noncompactness

Autor: Ahmed M. A. El-Sayed, Yasmin M. Y. Omar, Hind H. G. Hashem, Shorouk M. Al-Issa
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Foundations, Vol 3, Iss 1, Pp 37-48 (2023)
Druh dokumentu: article
ISSN: 2673-9321
DOI: 10.3390/foundations3010004
Popis: This article is devoted to the solvability and the asymptotic stability of a coupled system of a functional integral equation on the real half-axis. Our consideration is located in the space of bounded continuous functions on R+(BC(R+)). The main tool applied in this work is the technique associated with measures of noncompactness in BC(R+) by a given modulus of continuity. Next, we formulate and prove a sufficient condition for the solvability of that coupled system. We, additionally, provide an example and some particular cases to demonstrate the effectiveness and value of our results.
Databáze: Directory of Open Access Journals