中北大学学报（自然科学版）2017，Vol.38Issue(4)：425-432,8.DOI:10.3969/j.issn.1673-3193.2017.04.006
带有脉冲的二阶多点微分方程的边值问题
Boundary Value Problems for Second Order Multi-Point Difference Equations with Impulses
摘要
Abstract
The existence of solutions for multi-point boundary value problem of second-order impulsive differential equations was investigated.The boundary value conditions and impulsive term were extended.In the case of the impulsive term with the first derivative, the new conclusions about the existence of the solution are obtained via Leray-Schauder fixed-point theorem.It is proved that when the nonlinear term and impulsive term with some assumptions, a priori bounds for the solutions set of the differential equation doesn't depend on the parameters λ.It draws the conclusion that the differential equation has one solution at least.At last, the material example shows the application of the results.关键词
脉冲微分方程/Leray-Schauder不动点定理/多点边值问题Key words
impulsive differential equation/Leray-Schauder fixed point theorem/multi-point boundary value problem分类
数理科学引用本文复制引用
李海艳,郭宇恒,李利玫..带有脉冲的二阶多点微分方程的边值问题[J].中北大学学报（自然科学版）,2017,38(4):425-432,8.基金项目
四川省教育厅青年基金资助项目(12ZB108) （12ZB108）
