二阶常微分方程的积分边值问题  

Boundary Value Problem for Second Order Ordinary Differential Equations with Integral Boundary Conditions

作　　者：王兰芳[1] 

机构地区：[1]吉首大学数学与计算机科学学院,湖南吉首416000

出　　处：《吉首大学学报（自然科学版）》2009年第6期26-28,共3页Journal of Jishou University(Natural Sciences Edition)

基　　金：湖南省教育厅科学研究项目(07C521)

摘　　要：研究二阶常微分方程的积分边值问题,利用动点定理,得到了边值问题存在唯一正解和至少存在3个正解的充分条件.This paper deals with the study of boundary value problem for second order ordinary differential equations with integral boundary conditions. By means of fixed-point theorems, some sufficient conditions are obtained to guarantee the uniqueness of positive solution and existence of at least three positive solu- tions of the boundary value problems.

关 键 词：常微分方程 积分边界条件 正解 不动点 

分 类 号：O175.8[理学—数学]