一阶常微分方程组周期边值问题的正解

摘要

利用锥上的不动点指数研究了一阶非线性常微分方程组的周期边值问题.在某些条件下,证明了上述周期边值问题正解的存在性.%In this paper,by using the fixed point index method,the authors discussed the periodic boundary value problem of first order differential systems. Some results on the existence of positive solutions are derived.