奇异二阶周期微分系统的正解

Positive Solutions of Second-Order Singular Periodic Differential Systems

考察了一个非线性二阶周期微分系统的正解,其中非线性项关于时间和空间变量两者均可为奇异的.通过构造适当的控制函数并且利用锥上的Guo-Krasnoselskii不动点定理建立了单个和多重正解的存在性.

The positive solutions are considered for a nonlinear second-order periodic differential system in which the nonlinear terms may be singular with respect to both time and space variables. By constructing suitable control functions and applying Guo-Krasnoselskii fixed point theorem on cone, the existence of single and multiple positive solutions is established.