一类三阶微分方程边值问题正解的存在唯一性  

Existence and uniqueness of positive solution for a class of third-order differential equations boundary value problems

作　　者：周居政[1] 秦宏立[1] 

机构地区：[1]延安大学数学与计算机学院,陕西延安716000

出　　处：《陕西理工学院学报（自然科学版）》2012年第1期39-42,共4页Journal of Shananxi University of Technology:Natural Science Edition

摘　　要：利用Banach压缩映象原理,讨论了一类三阶非线性常微分方程三点边值问题的正解存在及唯一性,得到了其正解存在唯一性的充分条件,所得结果推广了现有文献的相应结果。A class of nonlinear three-point boundary value problem of third-order ordinary differen- tial equation boundary value problem of existence and uniqueness positive solutions conditions was studied by using Banach contraction mapping principle, and enough eonditions for the existence and uniqueness of positive solutions were obtained. Some results promote the corresponding results in the scientific litera ture available.

关 键 词：压缩映象原理 边值问题 正解 存在唯一性 

分 类 号：O175.8[理学—数学]