Solvability of Nonlinear Integral Equations of Volterra Type

Autor:	Zeqing Liu, Sunhong Lee, Shin Min Kang
Jazyk:	angličtina
Rok vydání:	2012
Předmět:	Mathematics QA1-939
Zdroj:	Abstract and Applied Analysis, Vol 2012 (2012)
Druh dokumentu:	article
ISSN:	1085-3375 1687-0409
DOI:	10.1155/2012/932019
Popis:	This paper deals with the existence of continuous bounded solutions for a rather general nonlinear integral equation of Volterra type and discusses also the existence and asymptotic stability of continuous bounded solutions for another nonlinear integral equation of Volterra type. The main tools used in the proofs are some techniques in analysis and the Darbo fixed point theorem via measures of noncompactness. The results obtained in this paper extend and improve essentially some known results in the recent literature. Two nontrivial examples that explain the generalizations and applications of our results are also included.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/9cdc48c0ae004b9b9b691239940fb4fa Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF