Positive periodic solutions of singular systems with a parameter

[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.

[发布日期] 2010-12-15

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