Global Structure of Positive Solutions for Some Second-Order Multipoint Boundary Value Problems. (15th October 2017)

• Record Type: Journal Article
• Authors: Li, Hongyu; Zhang, Junting
• Other Names: Liu Lishan Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2017(2017)
• Publication Date: 2017-10-15
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2017/1014250
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We investigate in this paper the following second-order multipoint boundary value problem: - ( L φ ) ( t ) = λ f ( t, φ ( t ) ), 0 ≤ t ≤ 1, φ ′ 0 = 0, φ 1 = ∑ i = 1 m - 2 β i φ η i . Under some conditions, we obtain global structure of positive solution set of this boundary value problem and the behavior of positive solutions with respect to parameter λ by using global bifurcation method. We also obtain the infinite interval of parameter λ about the existence of positive solution.