Banach空间非线性常微分方程的正周期解

Positive periodic solution of nonlinear ordinary differential equation in Banach spaces

在一定的序条件及非紧性测度条件下,通过非紧性测度的精细计算,运用凝聚映射的不动点指数理论获得有序Banach空间二阶常微分方程的正周期解的存在性.

Under the ordered conditions and noncompactness measure conditions, the existence of positive periodic solution for second-order ordinary differential equation in Banach space was proved by accurately calculating the measure of noncompactness and employing fixed-point index theorems of condensing map.