带有一阶导数的脉冲微分方程多点边值问题解的存在性

The Existence of Solutions for Multi-point Boundary Value Problem of Impulsive Differential Equations with the First Derivative

利用Leray-Schauder不动点定理讨论一类非线性项与一阶导数有关的二阶脉冲微分方程的多点边值问题,将以往所研究的方程的脉冲项和边界条件作了改进,得到了解的存在性新结果.

This paper studies the existence of solutions for multi-point boundary value problem of second-order impulsive differential equations with the first derivative. The boundary value conditions and impulsive term are extended. By using Leray-Schauder fixedpoint theorem,the new conclusions about the existence of the solution are obtained.