一阶脉冲微分方程组周期边值问题正解的存在性

摘要

We study the existence of positive solutions for periodic boundary value problems of first-order impulsive differential equation systems. Firstly, appropriate linear space and norm are defined, and appropriate operator is given. Under the certain conditions of nonlinear term and pulse value, by the Krasnoselskii fixed point theory, we provide sufficient conditions under which the above boundary problem system has at least one positive solution.%研究一类一阶脉冲微分方程组周期边值问题正解的存在性问题.首先定义合适的线性空间以及范数,再给出恰当的算子,在非线性项和脉冲值满足一定的条件下,利用Krasnoselskii不动点定理,得到上述问题具有一个正解的充分条件.