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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Format: | Article |
Language: | English |
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Wiley
1988-01-01
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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. |
format | Article |
id | doaj-art-b9bed3f9c0fa405f847f36177303148e |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 1988-01-01 |
publisher | Wiley |
record_format | Article |
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 |