On a Class of Multitime Evolution Equations with Nonlocal Initial Conditions

The existence and uniqueness of the strong solution for a multitime evolution equation with nonlocal initial conditions are proved. The proof is essentially based on a priori estimates and on the density of the range of the operator generated by the considered problem.

Bibliographic Details
Main Authors:	F. Zouyed, F. Rebbani, N. Boussetila
Format:	Article
Language:	English
Published:	Hindawi Limited 2007-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2007/16938

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spelling	doaj-3fd9cc4861994583b5dd9b6c6a47146f2020-11-25T00:20:16ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092007-01-01200710.1155/2007/1693816938On a Class of Multitime Evolution Equations with Nonlocal Initial ConditionsF. Zouyed0F. Rebbani1N. Boussetila2Applied Math Lab, University Badji Mokhtar-Annaba, P.O. Box 12, Annaba 23000, AlgeriaApplied Math Lab, University Badji Mokhtar-Annaba, P.O. Box 12, Annaba 23000, AlgeriaApplied Math Lab, University Badji Mokhtar-Annaba, P.O. Box 12, Annaba 23000, AlgeriaThe existence and uniqueness of the strong solution for a multitime evolution equation with nonlocal initial conditions are proved. The proof is essentially based on a priori estimates and on the density of the range of the operator generated by the considered problem.http://dx.doi.org/10.1155/2007/16938
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	F. Zouyed F. Rebbani N. Boussetila
spellingShingle	F. Zouyed F. Rebbani N. Boussetila On a Class of Multitime Evolution Equations with Nonlocal Initial Conditions Abstract and Applied Analysis
author_facet	F. Zouyed F. Rebbani N. Boussetila
author_sort	F. Zouyed
title	On a Class of Multitime Evolution Equations with Nonlocal Initial Conditions
title_short	On a Class of Multitime Evolution Equations with Nonlocal Initial Conditions
title_full	On a Class of Multitime Evolution Equations with Nonlocal Initial Conditions
title_fullStr	On a Class of Multitime Evolution Equations with Nonlocal Initial Conditions
title_full_unstemmed	On a Class of Multitime Evolution Equations with Nonlocal Initial Conditions
title_sort	on a class of multitime evolution equations with nonlocal initial conditions
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2007-01-01
description	The existence and uniqueness of the strong solution for a multitime evolution equation with nonlocal initial conditions are proved. The proof is essentially based on a priori estimates and on the density of the range of the operator generated by the considered problem.
url	http://dx.doi.org/10.1155/2007/16938
work_keys_str_mv	AT fzouyed onaclassofmultitimeevolutionequationswithnonlocalinitialconditions AT frebbani onaclassofmultitimeevolutionequationswithnonlocalinitialconditions AT nboussetila onaclassofmultitimeevolutionequationswithnonlocalinitialconditions
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On a Class of Multitime Evolution Equations with Nonlocal Initial Conditions

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