| 一类二阶Dirichlet边值问题正解的存在性 |
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| 引用本文： | 王小军,高小丽,王瑞娜. 一类二阶Dirichlet边值问题正解的存在性[J]. 太原师范学院学报(自然科学版), 2012, 11(1): 1-3 |
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| 作者姓名： | 王小军 高小丽 王瑞娜 |
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| 作者单位： | 山西大学数学科学学院,山西太原,030006 |
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| 基金项目： | 国家自然科学基金(11071149) |
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| 摘 要： | 文章运用不动点指数理论得到了一类含有一阶导数项的二阶微分方程在Dirichlet边界条件下正解的存在性结果.
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| 关 键 词： | 二阶Dirichlet边值问题 正解 锥 不动点指数 |
Existence of Positive Solutions to a Kind of Second-Order Dirichlet Boundary Value Problems |
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| Wang Xiaojun Gao Xiaoli Wang Ruina. Existence of Positive Solutions to a Kind of Second-Order Dirichlet Boundary Value Problems[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2012, 11(1): 1-3 |
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| Authors: | Wang Xiaojun Gao Xiaoli Wang Ruina |
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| Affiliation: | Wang Xiaojun Gao Xiaoli Wang Ruina(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China) |
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| Abstract: | The existence of positive solutions to a kind of second-order differential equation containing the first-order derivative under the Dirichlet boundary conditions is mainly investigated by using the fixed point index theorem. |
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| Keywords: | second-order Dirichlet boundary value problems positive solutions cone fixed point index |
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