Open Access Research Article

Recent Existence Results for Second-Order Singular Periodic Differential Equations

Jifeng Chu12* and JuanJ Nieto3

Author Affiliations

1 Department of Mathematics, College of Science, Hohai University, Nanjing 210098, China

2 Department of Mathematics, Pusan National University, Busan 609-735, South Korea

3 Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain

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Boundary Value Problems 2009, 2009:540863  doi:10.1155/2009/540863

Published: 8 June 2009

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.