二阶非线性常微分方程组周期边值问题的正解

Positive solutions of periodic BVP for systems of nonlinear second-order ordinary differential equations

研究一类二阶非线性常微分方程组周期边值问题,在满足假设条件下,利用锥拉伸压缩不动点定理,得到了当f和g满足超线性或次线性时边值问题一个正解存在的充分条件.

A periodic boundary value problem for systems of nonlinear second-order ordinary differential equations is investigated.By using the fixed point theorem of cone expansion and compression,the existence of at least one positive solution for the problem is established under certain assumptions,when f and g are superlinear or sublinear.