| 二阶泛函Liouville边值问题解的存在定理 |
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| 引用本文： | 赵久利,葛渭高.二阶泛函Liouville边值问题解的存在定理[J].北京理工大学学报,2000,20(2):139-144. |
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| 作者姓名： | 赵久利 葛渭高 |
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| 作者单位： | 北京理工大学,应用数学系,北京,100081 |
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| 基金项目： | 国家自然科学基金;19871005; |
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| 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。
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| 关 键 词： | Liouville边值问题 解 存在定理 泛函微分方程 |
Existence Theorems of Solutions for Second-Order Functional Liouville Boundary Value Problems |
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| ZHAO Jiu-li,GE Wei-gao.Existence Theorems of Solutions for Second-Order Functional Liouville Boundary Value Problems[J].Journal of Beijing Institute of Technology(Natural Science Edition),2000,20(2):139-144. |
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| Authors: | ZHAO Jiu-li GE Wei-gao |
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| Abstract: | 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. |
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| Keywords: | topological degree Liouville boundary value problem Green function Caratheodory function |
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