摘要
将以往所研究的方程的边界条件和脉冲项做了推广,采用锥上不动点定理研究脉冲微分方程m点边值的问题,获得了该问题多重正解的存在性新结果.最后通过具体的实例说明结论的应用.
By using fixed-point theorems in a cones sufficient condition,the author explores the existence result of the multiple positive solutions for a class of second-order impulsive differential equation. The boundary value conditions and impulsive term are extended. Particularly,the new conclusions about the existence of the solution are obtained. At last,the material example shows the application of the results.
作者
李海艳
严峻
钱小瑞
郭宇恒
LI Haiya;YAN Jun;QIAN Xiaorui;GUO Yuheng(Department of Mathematical Teaching and Research,Jincheng College of Sichuan University,Chengdu,Sichuan 611731,China;University of Electronic Scienceand Technology of China,Chengdu,Sichuan 611730,China)
出处
《平顶山学院学报》
2019年第2期7-13,共7页
Journal of Pingdingshan University
基金
四川省教育厅自然科学一般项目(18ZB0359)
关键词
脉冲
边界条件
多重正解
不动点定理
impulsive
boundary value condition
multiple positive solutions
fixed-point theorem