二阶泛函Liouville边值问题解的存在定理  

Existence Theorems of Solutions for Second-Order Functional Liouville Boundary Value Problems

作　　者：赵久利[1] 葛渭高[1] 

机构地区：[1]北京理工大学应用数学系,北京100081

出　　处：《北京理工大学学报》2000年第2期139-144,共6页Transactions of Beijing Institute of Technology

基　　金：国家自然科学基金!19871005

摘　　要：利用拓扑度理论结合上下解方法，讨论二阶泛函微分方程Liouville边值问题解的存在条件；得到了两个存在定理，用它们还可解决某些奇性边值问题．To study existence conditions for the solution of functional differential equations with Liouville boundary conditions, topological degree theory and lower supper solution method were used. Two theorems were obtained and can be used to solve some singular boundary value problems.

关 键 词：Liouville边值问题 解 存在定理 泛函微分方程 

分 类 号：O175.7[理学—数学] O175.8[理学—基础数学]