Existence and Multiplicity of Positive Solutions of a Boundary-Value Problem for Sixth-Order ODE with Three Parameters. (18th August 2010)

• Record Type: Journal Article
• Authors: Zhang Zhang, Liyuan Liyuan; An An, Yukun Yukun
• Other Names: Perera Perera Kanishka Kanishka Academic Editor.
• Is Part Of: Boundary value problems. Volume 2010(2010)
• Publication Date: 2010-08-18
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2010/878131
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : We study the existence and multiplicity of positive solutions of the following boundary-value problem: - u ( 6 ) - γ u ( 4 ) + β u ′′ - α u = f ( t, u ), 0 < t < 1, u ( 0 ) = u ( 1 ) = u ′′ ( 0 ) = u ′′ ( 1 ) = u ( 4 ) ( 0 ) = u ( 4 ) ( 1 ) = 0, where f : [ 0, 1 ] × R + → R + is continuous, α, β, and γ ∈ R satisfy some suitable assumptions.