Existence of Positive Solutions of a Singular Nonlinear Boundary Value Problem. (18th August 2010)

• Record Type: Journal Article
• Authors: Ma, Ruyun; Li, Jiemei
• Other Names: Radulescu Vicentiu 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: 10.1155/2010/458015
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : We are concerned with the existence of positive solutions of singular second-order boundary value problemu ″ ( t ) + f ( t, u ( t ) ) = 0, t ∈ ( 0, 1 ), u ( 0 ) = u ( 1 ) = 0, which is not necessarily linearizable. Here, nonlinearityf is allowed to have singularities att = 0, 1 . The proof of our main result is based upon topological degree theory and global bifurcation techniques.