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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Bibliographic Details
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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