二阶脉冲微分方程三点边值问题解的存在性  

EXISTENCE OF SOLUTIONS OF THREE-POINT BOUNDARY VALUE PROBLEMS FOR SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATIONS

作　　者：宋玉霞[1] 闫宝强[1] 

机构地区：[1]山东师范大学数学科学学院,济南250014

出　　处：《系统科学与数学》2008年第2期168-179,共12页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10171057);山东省教育厅基金(J07WH08)资助

摘　　要：建立了二阶脉冲微分方程三点边值问题的比较定理,利用单调迭代方法讨论了二阶脉冲微分方程三点边值问题解的存在性.In this paper, firstly the comparison theorem of three-point boundary value problems for second-order impulsive differential equations is established, and then by means of a monotone iterative method, the existence of solutions of three-point boundary value problems for impulsive second order differential equations is given.

关 键 词：三点边值问题 单调迭代方法 脉冲微分方程 

分 类 号：O175.8[理学—数学]