Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems. (25th November 2010)

• Record Type: Journal Article
• Authors: Ma, Ruyun; Gao, Chenghua; Chen, Ruipeng
• Other Names: Rachůnková Irena Academic Editor.
• Is Part Of: Boundary value problems. Volume 2010(2010)
• Publication Date: 2010-11-25
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2010/626054
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : This paper is devoted to study the existence of periodic solutions of the second-order equationx ′′ = f ( t, x ), wheref is a Carathéodory function, by combining a new expression of Green's function together with Dancer's global bifurcation theorem. Our main results are sharp and improve the main results by Torres (2003).