非线性二阶常微分方程的正周期解(英文)

Positive Periodic Solution of Nonlinear Second Order Ordinary Differential Equations

探讨f既非超线性的也非次线性的非线性二阶常微分方程,其正ω-周期解的存在性.其结果拓展了Krasnosel skii锥映射不动点定理.

We establish the existence of the positive co-periodic solution of nonlinear second order ordinary differential equations, as f is neither superlinear nor sublinear. The results obtained are different form the Krasnosel＇skii fixed point theorem in cones.