New Aspects on the Solvability of a Multidimensional Functional Integral Equation with Multivalued Feedback Control

Autor:	Ahmed M. A. El-Sayed, Hind H. G. Hashem, Shorouk M. Al-Issa
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	multidimensional integral equation existence results measure of noncompactness Darbo fixed-point theorem multivalued feedback control Mathematics QA1-939
Zdroj:	Axioms, Vol 12, Iss 7, p 653 (2023)
Druh dokumentu:	article
ISSN:	12070653 2075-1680
DOI:	10.3390/axioms12070653
Popis:	The current study demonstrates the existence of solutions to a multidimensional functional integral equation with multivalued feedback. We seek solutions for the multidimensional functional problem that is defined, continuous, and bounded on the semi-infinite interval. Our proof is based on the technique associated with measures of noncompactness by a given modulus of continuity in the space in BC(R+). Also, some sufficient conditions are investigated to demonstrate the asymptotic stability of the solutions to that multidimensional functional equation. Additionally, we give an example and some particular cases to illustrate our outcomes.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/6d92ab17813748ac8284095d2620f749 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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