The Existence of Solutions of Three-point Boundary Value Problems for Second Order Impulsive Differential Equation  

作　　者：CAI Guo-lan ZHANG Jian-ping GE Wei-gao 

机构地区：[1]Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China [2]Department of Mathematics, Kaifeng University, Kaifeng 475001, China

出　　处：《Chinese Quarterly Journal of Mathematics》2005年第3期247-257,共11页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(10371006)

摘　　要：We study the existence of solutions to the second order three-point boundary value problem：{x″（t）＋f（t,x（t）,x′（t））=0,t≠ti,△x（ti）=Ii（x（ti）,x′（ti））,i=1,2,…,k,△x′（ti）=Ji（x（ti）,x′（t））,i=1,2,…,k,x（0）=0=x（1）-αx（η）,where 0〈η〈1,α∈R,and f：[0,1]×R×R→R,Ii：R×R→R,Ji：R×R→R（i=1,2,…,k）are continuous. Our results is new and different from previous results. In particular, we obtain the Green function of the problem, which makes the problem simpler.

关 键 词：impulsive differential equation boundary value problem fixed points CONE 

分 类 号：O175.8[理学—数学]