Multiple Nodal Solutions for Some Fourth-Order Boundary Value Problems via Admissible Invariant Sets. (9th October 2008)

• Record Type: Journal Article
• Authors: Yang, Yang; Zhang, Jihui; Zhang, Zhitao
• Other Names: O'Regan Donal Academic Editor.
• Is Part Of: Boundary value problems. Volume 2008(2008)
• Publication Date: 2008-10-09
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2008/403761
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : 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, wheref : [ 0, 1 ] × R → R is continuous. The critical point theory and admissible invariant sets are employed to discuss this problem.