上下解反序条件下二阶泛函微分方程Neumann边值问题解的存在性条件  

Existence Conditions for Second Order Neumann Boundary Value Problems of Functional Differential Equations with Upper and Lower Solutions in the Reverse Order

作　　者：汤宇[1] 

机构地区：[1]吉林省财税专科学校基础部,长春130062

出　　处：《数学的实践与认识》2006年第11期243-252,共10页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10171010)

摘　　要：主要利用上下解和单调迭代法,研究了带有N eum ann边界条件的二阶泛函微分方程在上下解反序条件下解的存在性条件.Wedeal withthe existence conditionsto second order functional differential equation with Neumann boundary value conditionsby the method of upper upper and lower solutions and monotone iterative technique. Moreover, we obtain the existence conditions with upper and lower solutions in the reverse order.

关 键 词：NEUMANN边值问题 上下解 反极大值比较原理 单调迭代法 

分 类 号：O175.8[理学—数学]