Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's Method

We consider a telegraph equation with nonlocal boundary conditions, and using the application of Galerkin's method we established the existence and uniqueness of a generalized solution.

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Main Authors: Assia Guezane-Lakoud, Jaydev Dabas, Dhirendra Bahuguna
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/451492
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author Assia Guezane-Lakoud
Jaydev Dabas
Dhirendra Bahuguna
author_facet Assia Guezane-Lakoud
Jaydev Dabas
Dhirendra Bahuguna
author_sort Assia Guezane-Lakoud
collection DOAJ
description We consider a telegraph equation with nonlocal boundary conditions, and using the application of Galerkin's method we established the existence and uniqueness of a generalized solution.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2011-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-7c46cc5414fa410da1bc5d1b168611bb2025-02-03T01:09:41ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/451492451492Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's MethodAssia Guezane-Lakoud0Jaydev Dabas1Dhirendra Bahuguna2Laboratory of Advanced Materials, Badji Mokhtar University, P.O. Box 12, 23000 Annaba, AlgeriaDepartment of Mathematics, Motilal Nehru National Institute of Technology Allahabad, Allahabad 211 004, IndiaDepartment of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kanpur 208 016, IndiaWe consider a telegraph equation with nonlocal boundary conditions, and using the application of Galerkin's method we established the existence and uniqueness of a generalized solution.http://dx.doi.org/10.1155/2011/451492
spellingShingle Assia Guezane-Lakoud
Jaydev Dabas
Dhirendra Bahuguna
Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's Method
International Journal of Mathematics and Mathematical Sciences
title Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's Method
title_full Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's Method
title_fullStr Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's Method
title_full_unstemmed Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's Method
title_short Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's Method
title_sort existence and uniqueness of generalized solutions to a telegraph equation with an integral boundary condition via galerkin s method
url http://dx.doi.org/10.1155/2011/451492
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AT dhirendrabahuguna existenceanduniquenessofgeneralizedsolutionstoatelegraphequationwithanintegralboundaryconditionviagalerkinsmethod