三阶两点边值问题解的存在性与唯一性  

Existence And Uniqueness of Solutions for a Third-Order Two-Point Boundary Value Problem

作　　者：李俊杰[1] 丁永宏[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《数学的实践与认识》2010年第19期242-247,共6页Mathematics in Practice and Theory

基　　金：甘肃省自然科学基金(0710RJZA103);西北师范大学创新工程基金(NWNU-KJCXGC-3-47)

摘　　要：主要考虑如下三阶两点边值问题通过对非线性项f作适当的限制,利用上下解方法,获得三阶两点边值问题解的存在性结果.特别之处是,一个截断技巧和Nagumo条件的引入和使用.同时得到了解的唯一性结果.In this paper,We are concerned with the third-order two-point boundary value problem By placing certain restrictions on the nonlinear term f,we obtain the existence results for the third-order two-point boundary value problem via the lower and upper solution method.In particular,a new truncating technique and a Nagumo condition are introduced and employed. Meanwhile,we obtain the uniqueness results of the solution.

关 键 词：三阶两点边值问题 上下解 NAGUMO条件 积微分方程 存在性与唯一性 

分 类 号：O175.8[理学—数学]