非线性含参系统无穷多正周期解的存在性

用Krasnoselskii不动点定理, 讨论非线性含参系统无穷多正周期解的存在性, 得到了其无穷多个正周期解, 其中λ是一个正参数, a,b: ［0,1］→［0,∞)是连续函数且在［0,1］的任意子区间上不恒为0, f,g: ［0,1]×［0,∞)×［0,∞)→［0,∞)是连续函数.

Existence of Infinite Positive Periodic Solutions for Nonlinear Systems with Parameters

By using the Krasnoselskii fixed-point theorem, the author discuss existence of infinite positive periodic solutions for nonlinear systems with parameters and obtain infinite positive periodic solutions, where λ is a positive parameter, a,b: ［0,1］→［0,∞) are continuous function and are not always 0 on any subinterval of ［0,1］,  f,g: ［0,1］×［0,∞)×［0,∞)→［0,∞) are continuous function.