一类三阶三点边值问题的可解性  

The solubility for a kind of third-order three-point boundary value problems

作　　者：刘伟[1] 王岩岩[1] 吴景珠[1] 杜金姬[2] 

机构地区：[1]周口师范学院数学系,河南周口466001 [2]中南大学数学科学与计算技术学院,湖南长沙410083

出　　处：《周口师范学院学报》2011年第5期10-13,共4页Journal of Zhoukou Normal University

基　　金：河南省教育厅自然科学基金资助项目(No.2010A110022)

摘　　要：讨论了一类非线性常微分方程三阶三点边值问题的可解性.在非线性项满足线性增长的条件下,通过构造适当的Banach空间并用Leray-Schauder不动点定理证明了该问题必存在解或正解.The solubility for a kind of nonlinear ordinary differential equation with third-order three-point boundary value problems was addressed. In terms of constructing suitable banach space and leray-schauder fixed theorem under the condition of linear growth for nonlinearity item, the existence of solution or positive solution was proved.

关 键 词：非线性三阶常微分方程 三点边值问题 正解 

分 类 号：O175.8[理学—数学]