Boundary value problem with integral conditions for a linear third-order equation

Boundary value problem with integral conditions for a linear third-order equation

We prove the existence and uniqueness of a strong solution for a linear third-order equation with integral boundary conditions. The proof uses energy inequalities and the density of the range of the generated operator.

Bibliographic Details
Main Authors: M. Denche, A. Memou
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/S1110757X03303031
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spelling doaj-965bd9f3a9d94952a8024244139d6c732020-11-25T00:59:00ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422003-01-0120031155356710.1155/S1110757X03303031Boundary value problem with integral conditions for a linear third-order equationM. Denche0A. Memou1Laboratoire Equations Différentielles, Département de Mathématiques, Faculté des Sciences, Université Mentouri, Constantine 25000, AlgeriaLaboratoire Equations Différentielles, Département de Mathématiques, Faculté des Sciences, Université Mentouri, Constantine 25000, AlgeriaWe prove the existence and uniqueness of a strong solution for a linear third-order equation with integral boundary conditions. The proof uses energy inequalities and the density of the range of the generated operator.http://dx.doi.org/10.1155/S1110757X03303031
collection DOAJ
language English
format Article
sources DOAJ
author M. Denche
A. Memou
spellingShingle M. Denche
A. Memou
Boundary value problem with integral conditions for a linear third-order equation
Journal of Applied Mathematics
author_facet M. Denche
A. Memou
author_sort M. Denche
title Boundary value problem with integral conditions for a linear third-order equation
title_short Boundary value problem with integral conditions for a linear third-order equation
title_full Boundary value problem with integral conditions for a linear third-order equation
title_fullStr Boundary value problem with integral conditions for a linear third-order equation
title_full_unstemmed Boundary value problem with integral conditions for a linear third-order equation
title_sort boundary value problem with integral conditions for a linear third-order equation
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2003-01-01
description We prove the existence and uniqueness of a strong solution for a linear third-order equation with integral boundary conditions. The proof uses energy inequalities and the density of the range of the generated operator.
url http://dx.doi.org/10.1155/S1110757X03303031
work_keys_str_mv AT mdenche boundaryvalueproblemwithintegralconditionsforalinearthirdorderequation
AT amemou boundaryvalueproblemwithintegralconditionsforalinearthirdorderequation
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