Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equations

In the present work we consider a nonlinear nonlocal functional differential equations in a real reflexive Banach space. We apply the method of lines to establish the existence and uniqueness of a strong solution. We consider also some applications of the abstract results.

Bibliographic Details
Main Authors:	Shruti Agarwal, Dhirendra Bahuguna
Format:	Article
Language:	English
Published:	Texas State University 2004-04-01
Series:	Electronic Journal of Differential Equations
Subjects:	Nonlocal problem accretive operator strong solution method of lines
Online Access:	http://ejde.math.txstate.edu/Volumes/2004/52/abstr.html

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spelling	doaj-6110421eb74e4b5082d519e4e6ffaaf62020-11-24T21:58:42ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-04-0120045219Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equationsShruti AgarwalDhirendra BahugunaIn the present work we consider a nonlinear nonlocal functional differential equations in a real reflexive Banach space. We apply the method of lines to establish the existence and uniqueness of a strong solution. We consider also some applications of the abstract results. http://ejde.math.txstate.edu/Volumes/2004/52/abstr.htmlNonlocal problemaccretive operatorstrong solutionmethod of lines
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Shruti Agarwal Dhirendra Bahuguna
spellingShingle	Shruti Agarwal Dhirendra Bahuguna Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equations Electronic Journal of Differential Equations Nonlocal problem accretive operator strong solution method of lines
author_facet	Shruti Agarwal Dhirendra Bahuguna
author_sort	Shruti Agarwal
title	Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equations
title_short	Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equations
title_full	Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equations
title_fullStr	Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equations
title_full_unstemmed	Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equations
title_sort	existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equations
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2004-04-01
description	In the present work we consider a nonlinear nonlocal functional differential equations in a real reflexive Banach space. We apply the method of lines to establish the existence and uniqueness of a strong solution. We consider also some applications of the abstract results.
topic	Nonlocal problem accretive operator strong solution method of lines
url	http://ejde.math.txstate.edu/Volumes/2004/52/abstr.html
work_keys_str_mv	AT shrutiagarwal existenceanduniquenessofstrongsolutionstononlinearnonlocalfunctionaldifferentialequations AT dhirendrabahuguna existenceanduniquenessofstrongsolutionstononlinearnonlocalfunctionaldifferentialequations
_version_	1725850591283904512

Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equations

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