Existence of solutions for quasilinear delay integrodifferential equations with nonlocal conditions

We prove the existence and uniqueness of mild and classical solution to a quasilinear delay integrodifferential equation with nonlocal condition. The results are obtained by using $C_0$-semigroup and the Banach fixed point theorem.

Bibliographic Details
Main Authors:	Francis Paul Samuel, Krishnan Balachandran
Format:	Article
Language:	English
Published:	Texas State University 2009-01-01
Series:	Electronic Journal of Differential Equations
Subjects:	Semigroup mild and classical solution Banach fixed point theorem
Online Access:	http://ejde.math.txstate.edu/Volumes/2009/06/abstr.html

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spelling	doaj-83a83b2940714089bc6a69616f3047172020-11-24T20:44:51ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912009-01-01200906,17Existence of solutions for quasilinear delay integrodifferential equations with nonlocal conditionsFrancis Paul SamuelKrishnan BalachandranWe prove the existence and uniqueness of mild and classical solution to a quasilinear delay integrodifferential equation with nonlocal condition. The results are obtained by using $C_0$-semigroup and the Banach fixed point theorem.http://ejde.math.txstate.edu/Volumes/2009/06/abstr.htmlSemigroupmild and classical solutionBanach fixed point theorem
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Francis Paul Samuel Krishnan Balachandran
spellingShingle	Francis Paul Samuel Krishnan Balachandran Existence of solutions for quasilinear delay integrodifferential equations with nonlocal conditions Electronic Journal of Differential Equations Semigroup mild and classical solution Banach fixed point theorem
author_facet	Francis Paul Samuel Krishnan Balachandran
author_sort	Francis Paul Samuel
title	Existence of solutions for quasilinear delay integrodifferential equations with nonlocal conditions
title_short	Existence of solutions for quasilinear delay integrodifferential equations with nonlocal conditions
title_full	Existence of solutions for quasilinear delay integrodifferential equations with nonlocal conditions
title_fullStr	Existence of solutions for quasilinear delay integrodifferential equations with nonlocal conditions
title_full_unstemmed	Existence of solutions for quasilinear delay integrodifferential equations with nonlocal conditions
title_sort	existence of solutions for quasilinear delay integrodifferential equations with nonlocal conditions
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2009-01-01
description	We prove the existence and uniqueness of mild and classical solution to a quasilinear delay integrodifferential equation with nonlocal condition. The results are obtained by using $C_0$-semigroup and the Banach fixed point theorem.
topic	Semigroup mild and classical solution Banach fixed point theorem
url	http://ejde.math.txstate.edu/Volumes/2009/06/abstr.html
work_keys_str_mv	AT francispaulsamuel existenceofsolutionsforquasilineardelayintegrodifferentialequationswithnonlocalconditions AT krishnanbalachandran existenceofsolutionsforquasilineardelayintegrodifferentialequationswithnonlocalconditions
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Existence of solutions for quasilinear delay integrodifferential equations with nonlocal conditions

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