具有奇异性二阶微分方程正周期解的存在性

摘要

This paper deals with the periodic boundary value problem u′′=f (t, u)+c(t). By introducing an auxiliary Green function and the method of varying in translation, we give the existence of positive solution under a simpler assumptions.%本文考虑周期边值问题u′′=f (t, u)+c(t)。通过构造辅助Green函数及变量替换的方法，在较弱的条件下给出了方程正周期解的存在性。