| 三阶奇摄动非线性边值问题解的唯一性 |
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| 引用本文： | 王国灿.三阶奇摄动非线性边值问题解的唯一性[J].大连铁道学院学报,2003,24(4):1-3. |
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| 作者姓名： | 王国灿 |
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| 作者单位： | 大连铁道学院文理分院 辽宁 |
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| 摘 要： | 利用微分不等式理论，研究了三阶奇摄动非线性边值问题，以上下解为基础，建立了解的唯一性定理，在适当条件下，构造具体的上下解，得到了解的唯一性．结果表明这种技巧为奇摄动边值问题的唯一性研究提出了新的思路．
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| 关 键 词： | 三阶奇摄动非线性边值问题 上下解 唯一性定理 边值问题 微分不等式 |
Uniqueness of Third Order Singularly Perturbed Boundary Value Problem |
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| WANG Guo - can.Uniqueness of Third Order Singularly Perturbed Boundary Value Problem[J].Journal of Dalian Railway Institute,2003,24(4):1-3. |
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| Authors: | WANG Guo - can |
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| Abstract: | In this paper, third order Singularly perturbed boundary value problem is studied by means of differential inequality theories. Based on the upper and lower solution, the uniqueness theorem is established. Specific upper and lower solutions are constructed, and the uniqueness of solution is obtained. The result shows that it is a new approach to apply these techniques to solving the uniqueness of singularly perturbed boundary problem. |
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| Keywords: | third order singularly perturbed boundary value problem upper and lower solutions uniqueness |
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