Solvability of a fourth order boundary value problem with periodic boundary conditions

Fourth order boundary value problems arise in the study of the equilibrium of an elastaic beam under an external load. The author earlier investigated the existence and uniqueness of the solutions of the nonlinear analogues of fourth order boundary value problems that arise in the equilibrium of an...

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Main Author: Chaitan P. Gupta
Format: Article
Language:English
Published: Wiley 1988-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S016117128800033X
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author Chaitan P. Gupta
author_facet Chaitan P. Gupta
author_sort Chaitan P. Gupta
collection DOAJ
description Fourth order boundary value problems arise in the study of the equilibrium of an elastaic beam under an external load. The author earlier investigated the existence and uniqueness of the solutions of the nonlinear analogues of fourth order boundary value problems that arise in the equilibrium of an elastic beam depending on how the ends of the beam are supported. This paper concerns the existence and uniqueness of solutions of the fourth order boundary value problems with periodic boundary conditions.
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institution Kabale University
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1687-0425
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publishDate 1988-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-b9bed3f9c0fa405f847f36177303148e2025-02-03T00:59:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111227528410.1155/S016117128800033XSolvability of a fourth order boundary value problem with periodic boundary conditionsChaitan P. Gupta0Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, USAFourth order boundary value problems arise in the study of the equilibrium of an elastaic beam under an external load. The author earlier investigated the existence and uniqueness of the solutions of the nonlinear analogues of fourth order boundary value problems that arise in the equilibrium of an elastic beam depending on how the ends of the beam are supported. This paper concerns the existence and uniqueness of solutions of the fourth order boundary value problems with periodic boundary conditions.http://dx.doi.org/10.1155/S016117128800033X
spellingShingle Chaitan P. Gupta
Solvability of a fourth order boundary value problem with periodic boundary conditions
International Journal of Mathematics and Mathematical Sciences
title Solvability of a fourth order boundary value problem with periodic boundary conditions
title_full Solvability of a fourth order boundary value problem with periodic boundary conditions
title_fullStr Solvability of a fourth order boundary value problem with periodic boundary conditions
title_full_unstemmed Solvability of a fourth order boundary value problem with periodic boundary conditions
title_short Solvability of a fourth order boundary value problem with periodic boundary conditions
title_sort solvability of a fourth order boundary value problem with periodic boundary conditions
url http://dx.doi.org/10.1155/S016117128800033X
work_keys_str_mv AT chaitanpgupta solvabilityofafourthorderboundaryvalueproblemwithperiodicboundaryconditions