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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<p/> <p>Existence and multiplicity results for nodal solutions are obtained for the fourth-order boundary value problem (BVP) <inline-formula> <graphic file="1687-2770-2008-403761-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2...

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Main Authors: Zhang Zhitao, Yang Yang, Zhang Jihui
Format: Article
Language:English
Published: SpringerOpen 2008-01-01
Series:Boundary Value Problems
Online Access:http://www.boundaryvalueproblems.com/content/2008/403761
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spelling doaj-8b74a32e57d749c1915ef09949018c3f2020-11-24T22:06:26ZengSpringerOpenBoundary Value Problems1687-27621687-27702008-01-0120081403761Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant SetsZhang ZhitaoYang YangZhang Jihui<p/> <p>Existence and multiplicity results for nodal solutions are obtained for the fourth-order boundary value problem (BVP) <inline-formula> <graphic file="1687-2770-2008-403761-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-403761-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-403761-i3.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-2770-2008-403761-i4.gif"/></inline-formula> is continuous. The critical point theory and admissible invariant sets are employed to discuss this problem.</p>http://www.boundaryvalueproblems.com/content/2008/403761
collection DOAJ
language English
format Article
sources DOAJ
author Zhang Zhitao
Yang Yang
Zhang Jihui
spellingShingle Zhang Zhitao
Yang Yang
Zhang Jihui
Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets
Boundary Value Problems
author_facet Zhang Zhitao
Yang Yang
Zhang Jihui
author_sort Zhang Zhitao
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 2008-01-01
description <p/> <p>Existence and multiplicity results for nodal solutions are obtained for the fourth-order boundary value problem (BVP) <inline-formula> <graphic file="1687-2770-2008-403761-i1.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-403761-i2.gif"/></inline-formula>, <inline-formula> <graphic file="1687-2770-2008-403761-i3.gif"/></inline-formula>, where <inline-formula> <graphic file="1687-2770-2008-403761-i4.gif"/></inline-formula> is continuous. The critical point theory and admissible invariant sets are employed to discuss this problem.</p>
url http://www.boundaryvalueproblems.com/content/2008/403761
work_keys_str_mv AT zhangzhitao multiplenodalsolutionsforsomefourthorderboundaryvalueproblemsviaadmissibleinvariantsets
AT yangyang multiplenodalsolutionsforsomefourthorderboundaryvalueproblemsviaadmissibleinvariantsets
AT zhangjihui multiplenodalsolutionsforsomefourthorderboundaryvalueproblemsviaadmissibleinvariantsets
_version_ 1725823793287397376

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