| 一类二阶微分方程边值问题正解的存在唯一性讨论 |
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| 引用本文： | 熊骏. 一类二阶微分方程边值问题正解的存在唯一性讨论[J]. 长江大学学报, 2006, 3(3): 12-14 |
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| 作者姓名： | 熊骏 |
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| 作者单位： | 长江大学信息与数学学院 湖北 |
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| 摘 要： | 考虑了一类二阶微分方程边值问题解的存在性和唯一性。利用构造函数的方法得到极值定理,证明了边值问题正解的唯一性;并用构造集合的方法证明了正解的存在性。
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| 关 键 词： | 微分方程 边值问题 存在性 唯一性 正解 |
| 文章编号： | 1673-1409（2006）03-0012-03 |
| 收稿时间： | 2006-05-20 |
| 修稿时间： | 2006-05-20 |
Existence and Uniqueness of Positive Solution to A Second-order Differential Equation on Boundary Value Problem |
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| XIONG Jun. Existence and Uniqueness of Positive Solution to A Second-order Differential Equation on Boundary Value Problem[J]. Journal of Yangtze University, 2006, 3(3): 12-14 |
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| Authors: | XIONG Jun |
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| Abstract: | The existence and uniqueness of positive solution to a kind of boundary problem are dis- cussed. An extreme theorem is derived by using construction function,the uniqueness of a positive so- lution to boundary value problem is proven,the existence of the positive solution is also proven by u- sing the construction set. |
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| Keywords: | differential equation boundary value problem existence uniqueness positive solution |
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