On an abstract nonlinear functional second order Volterra integrodifferential equation

Autor:	Pramod M Dhakane
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	volterra integro-differential equations cosine family modified version of banach contraction mapping principle pachpatte's integral inequality Mathematics QA1-939 Probabilities. Mathematical statistics QA273-280
Zdroj:	Ratio Mathematica, Vol 51, Iss 0 (2024)
Druh dokumentu:	article
ISSN:	1592-7415 2282-8214
DOI:	10.23755/rm.v51i0.1252
Popis:	In this paper, we prove the existence, uniqueness and boundedness of solutions of a nonlinear functional second order Volterra integrodifferential equation in a general Banach space. The theory of strongly continuous cosine family, modified version of Banach contraction mapping principle and Pachpatte’s integral inequality are main techniques employed in our analysis
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/253fcccaad21459abf22103962ed484e Zobrazit plný text záznamu View record in DOAJ