Nontrivial Solutions of a Fully Fourth-Order Periodic Boundary Value Problem

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...

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Main Authors: Haitong Li, Minghe Pei, Libo Wang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/895862
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spelling doaj-f625a994fad044dab6be044dd08df8812020-11-25T00:11:37ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Haitong Li
Minghe Pei
Libo Wang
spellingShingle Haitong Li
Minghe Pei
Libo Wang
Nontrivial Solutions of a Fully Fourth-Order Periodic Boundary Value Problem
Journal of Applied Mathematics
author_facet Haitong Li
Minghe Pei
Libo Wang
author_sort Haitong Li
title 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_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_sort nontrivial solutions of a fully fourth-order periodic boundary value problem
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
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.
url http://dx.doi.org/10.1155/2014/895862
work_keys_str_mv AT haitongli nontrivialsolutionsofafullyfourthorderperiodicboundaryvalueproblem
AT minghepei nontrivialsolutionsofafullyfourthorderperiodicboundaryvalueproblem
AT libowang nontrivialsolutionsofafullyfourthorderperiodicboundaryvalueproblem
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