Nontrivial Solutions of a Fully Fourth-Order Periodic Boundary Value Problem
We investigate the solvability of a fully fourth-order periodic boundary value problem of the form x(4)=f(t,x,x′,x′′,x′′′), x(i)(0)=x(i)(T), i=0,1,2,3, where f:[0,T]×R4→R satisfies Carathéodory conditions. By using the coincidence degree theory, the existence of nontrivial solutions is obtaine...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/895862 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561329468080128 |
|---|---|
| author | Haitong Li Minghe Pei Libo Wang |
| author_facet | Haitong Li Minghe Pei Libo Wang |
| author_sort | Haitong Li |
| collection | DOAJ |
| description | We investigate the solvability of a fully fourth-order periodic boundary value problem of the form x(4)=f(t,x,x′,x′′,x′′′), x(i)(0)=x(i)(T), i=0,1,2,3, where f:[0,T]×R4→R satisfies Carathéodory conditions. By using the coincidence degree theory, the existence of nontrivial solutions is obtained. Meanwhile, as applications, some examples are given to illustrate our results. |
| format | Article |
| id | doaj-art-f625a994fad044dab6be044dd08df881 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f625a994fad044dab6be044dd08df8812025-02-03T01:25:29ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/895862895862Nontrivial Solutions of a Fully Fourth-Order Periodic Boundary Value ProblemHaitong Li0Minghe Pei1Libo Wang2Department of Mathematics, Beihua University, Jilin City 132013, ChinaDepartment of Mathematics, Beihua University, Jilin City 132013, ChinaDepartment of Mathematics, Beihua University, Jilin City 132013, ChinaWe investigate the solvability of a fully fourth-order periodic boundary value problem of the form x(4)=f(t,x,x′,x′′,x′′′), x(i)(0)=x(i)(T), i=0,1,2,3, where f:[0,T]×R4→R satisfies Carathéodory conditions. By using the coincidence degree theory, the existence of nontrivial solutions is obtained. Meanwhile, as applications, some examples are given to illustrate our results.http://dx.doi.org/10.1155/2014/895862 |
| spellingShingle | Haitong Li Minghe Pei Libo Wang Nontrivial Solutions of a Fully Fourth-Order Periodic Boundary Value Problem Journal of Applied Mathematics |
| title | Nontrivial Solutions of a Fully Fourth-Order Periodic Boundary Value Problem |
| title_full | Nontrivial Solutions of a Fully Fourth-Order Periodic Boundary Value Problem |
| title_fullStr | Nontrivial Solutions of a Fully Fourth-Order Periodic Boundary Value Problem |
| title_full_unstemmed | Nontrivial Solutions of a Fully Fourth-Order Periodic Boundary Value Problem |
| title_short | Nontrivial Solutions of a Fully Fourth-Order Periodic Boundary Value Problem |
| title_sort | nontrivial solutions of a fully fourth order periodic boundary value problem |
| url | http://dx.doi.org/10.1155/2014/895862 |
| work_keys_str_mv | AT haitongli nontrivialsolutionsofafullyfourthorderperiodicboundaryvalueproblem AT minghepei nontrivialsolutionsofafullyfourthorderperiodicboundaryvalueproblem AT libowang nontrivialsolutionsofafullyfourthorderperiodicboundaryvalueproblem |