Global Existence and Uniqueness of Solutions of Integral Equations with Multiple Variable Delays and Integro Differential Equations: Progressive Contractions

Autor:	Osman Tunç, Cemil Tunç, Jen-Chih Yao
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	GEU of solutions integral equation integro-differential equation variable time delay fixed point progressive contraction Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 2, p 171 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12020171
Popis:	In this work, we delve into a nonlinear integral equation (IEq) with multiple variable time delays and a nonlinear integro-differential equation (IDEq) without delay. Global existence and uniqueness (GEU) of solutions of that IEq with multiple variable time delays and IDEq are investigated by the fixed point method using progressive contractions, which are due to T.A. Burton. We prove four new theorems including sufficient conditions with regard to GEU of solutions of the equations. The results generalize and improve some related published results of the relevant literature.
Databáze:	Directory of Open Access Journals
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