Recent Existence Results for Second-Order Singular Periodic Differential Equations. (8th June 2009)

• Record Type: Journal Article
• Authors: Chu, Jifeng; Nieto, Juan J.
• Other Names: O'Regan Donal Academic Editor.
• Is Part Of: Boundary value problems. Volume 2009(2009)
• Publication Date: 2009-06-08
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2009/540863
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : We present some recent existence results for second-order singular periodic differential equations. A nonlinear alternative principle of Leray-Schauder type, a well-known fixed point theorem in cones, and Schauder's fixed point theorem are used in the proof. The results shed some light on the differences between a strong singularity and a weak singularity.