利用非线性Leray-Schauder二择一定理和锥拉伸与压缩不动点定理,讨论了一类奇异二阶脉冲微分方程在周期边值条件下多个正解的存在性.
This paper obtains the existence of multiple positive solutions for periodic boundary value problems of second-order nonlinear impulsive singular equations.The argument is based on the nonlinear alternative principle of Leray-Schauder type and on Krasnoselskii fixed point theorem on compression and expansion of cone.