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

Autor:	Al-Issa, Ahmed M. A. El-Sayed, Hind H. G. Hashem, Shorouk M.
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	multidimensional integral equation existence results measure of noncompactness Darbo fixed-point theorem multivalued feedback control
Zdroj:	Axioms; Volume 12; Issue 7; Pages: 653
ISSN:	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:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=multidiscipl::3a2204b77eb3913453859a252e79ea90 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.