Positive periodic solutions of singular systems with a parameter

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:249

Article

Wang, Haiyan

关键词: Periodic solutions;    Non-autonomous;    Dynamical systems;    Strong singularity;    Weak singularity;    Krasnoselskii fixed point theorem;    Cone;   

DOI  :  10.1016/j.jde.2010.08.027

来源: Elsevier

【 摘 要 】

The existence and multiplicity of positive periodic solutions for second-order non-autonomous singular dynamical systems are established with superlinearity or sublinearity assumptions at infinity for an appropriately chosen parameter. Our results provide a unified treatment for the problem and significantly improve several results in the literature. The proof of our results is based on the Krasnoselskii fixed point theorem in a cone. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free