带有脉冲的微分方程m点边值问题多重正解  

Multiple Positive Solutions of m-point Boundary Value Problem for Impulsive Differential Equations

作　　者：李海艳[1] 严峻[1] 钱小瑞[1] 郭宇恒[2] 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)

机构地区：[1]四川大学锦城学院数学教研室,四川成都611731 [2]电子科技大学,四川成都611730

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)

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.

关 键 词：脉冲 边界条件 多重正解 不动点定理 

分 类 号：O175.8[理学—数学]