二阶积分微分方程多点边值问题(英文)  

Multi-point Boundary Value Problems for Second-order Integro-differential Equations

作　　者：卢腊军[1] 罗治国[1] 

机构地区：[1]湖南师范大学数学系,湖南长沙410081

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2008年第3期344-348,共5页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：Project Supported by the National Natural Science Foundation of China(10571050);the Hunan Provincial NaturalScience Foundation(05JJ40013)

摘　　要：讨论了二阶积分微分方程多点边值问题极值解的存在性,用上下解方法和单调迭代技巧,得到了极值解的存在性定理.In this paper we discuss the existence of minimax solutions of the multi-point boundary problems for a class of second-order integro-differential equations. By using lower and upper solution method and monotone iterative, the existence theorem of minimax solutions is obtained.

关 键 词：积分微分方程 单调迭代 多点边值问题 

分 类 号：O175.8[理学—数学]