Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets

Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets

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Existence and multiplicity results for nodal solutions are obtained for the fourth-order boundary value problem (BVP) u(4)(t)=f(t,u(t)), 0<t<1, u(0)=u(1)=u′′(0)=u′′(1)=0, where f:[0,1]×R→R is continuous. The critical point theory and admissible invariant sets are em...

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Main Authors: Zhitao Zhang, Jihui Zhang, Yang Yang
Format: Article
Language:English
Published: SpringerOpen 2008-10-01
Series:Boundary Value Problems
Online Access:http://dx.doi.org/10.1155/2008/403761
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spelling doaj-8447910b5ec64371a84c83be144c3fdf2020-11-24T22:24:48ZengSpringerOpenBoundary Value Problems1687-27621687-27702008-10-01200810.1155/2008/403761Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant SetsZhitao ZhangJihui ZhangYang YangExistence and multiplicity results for nodal solutions are obtained for the fourth-order boundary value problem (BVP) u(4)(t)=f(t,u(t)), 0<t<1, u(0)=u(1)=u′′(0)=u′′(1)=0, where f:[0,1]×R→R is continuous. The critical point theory and admissible invariant sets are employed to discuss this problem.http://dx.doi.org/10.1155/2008/403761
collection DOAJ
language English
format Article
sources DOAJ
author Zhitao Zhang
Jihui Zhang
Yang Yang
spellingShingle Zhitao Zhang
Jihui Zhang
Yang Yang
Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets
Boundary Value Problems
author_facet Zhitao Zhang
Jihui Zhang
Yang Yang
author_sort Zhitao Zhang
title Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets
title_short Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets
title_full Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets
title_fullStr Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets
title_full_unstemmed Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets
title_sort multiple nodal solutions for some fourth-order boundary value problems via admissible invariant sets
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2762
1687-2770
publishDate 2008-10-01
description Existence and multiplicity results for nodal solutions are obtained for the fourth-order boundary value problem (BVP) u(4)(t)=f(t,u(t)), 0<t<1, u(0)=u(1)=u′′(0)=u′′(1)=0, where f:[0,1]×R→R is continuous. The critical point theory and admissible invariant sets are employed to discuss this problem.
url http://dx.doi.org/10.1155/2008/403761
work_keys_str_mv AT zhitaozhang multiplenodalsolutionsforsomefourthorderboundaryvalueproblemsviaadmissibleinvariantsets
AT jihuizhang multiplenodalsolutionsforsomefourthorderboundaryvalueproblemsviaadmissibleinvariantsets
AT yangyang multiplenodalsolutionsforsomefourthorderboundaryvalueproblemsviaadmissibleinvariantsets
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