| 抽象二阶边值问题正解的存在性 |
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| 引用本文： | 王兆青. 抽象二阶边值问题正解的存在性[J]. 甘肃科学学报, 2004, 16(3): 27-29 |
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| 作者姓名： | 王兆青 |
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| 作者单位： | 甘肃广播电视大学,兰州市分校,甘肃,兰州,730030 |
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| 摘 要： | 讨论了有序Banach空间中的非线性二阶Dirichlet边值问题正解的存在性，并在非线性项满足一个易检验的序条件下，应用凝聚映射的拓扑度理论获得了该问题正解的存在性结果．
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| 关 键 词： | 抽象二阶边值问题 闭凸锥 凝聚映射 拓扑度 正解 |
| 文章编号： | 1004-0366(2004)03-0027-03 |
| 修稿时间： | 2004-03-16 |
Existence of Positive Solutions for Abstract Second Order Boundary Value Problems |
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| WANG Zhao-qing. Existence of Positive Solutions for Abstract Second Order Boundary Value Problems[J]. Journal of Gansu Sciences, 2004, 16(3): 27-29 |
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| Authors: | WANG Zhao-qing |
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| Abstract: | The existence of positive solutions for nonlinear second order Dirichlet boundary value problem in ordered Banach spaces is discussed. Under an order condition of nonlinear term which could be easily verified, the existence of positive solutions is proved by the topological degree theory of condensing mapping. |
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| Keywords: | Abstract second order boundary value problem closed convex cone condensing mapping topological degree positive solution |
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