| 二阶Volterra型积分微分方程的奇摄动 |
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| 引用本文： | 王国灿.二阶Volterra型积分微分方程的奇摄动[J].纺织高校基础科学学报,2003,16(4):306-310. |
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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,大连,116028 |
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| 摘 要： | 利用微分不等式理论研究了二阶Volterra型积分微分方程非线性边值问题的解的存在性和唯一性．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，得到了解的存在性和唯一性．结果表明这种技巧为奇摄动边值问题的存在性和唯一性研究提出了新的思路．
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| 关 键 词： | Volterra型积分微分方程 存在性 唯一性 上下解 |
| 文章编号： | 1006-8341(2003)04-0306-05 |
| 修稿时间： | 2003年5月14日 |
Singularly perturbed of the second order Volterra type integrodifferential equation |
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| WANG Guio-can.Singularly perturbed of the second order Volterra type integrodifferential equation[J].Basic Sciences Journal of Textile Universities,2003,16(4):306-310. |
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| Authors: | WANG Guio-can |
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| Abstract: | The existence and uniqueness of solution are studied for nonlinear boundary value problem of Volterra type equation by means of differential inequality theories. Based on the upper and lower solution,the existence and uniqueness theorem was established. Specific upper and lower solutions were constructed, the existence and uniqueness of solution was obtained. The result shows that is seems to be new to apply these techniques to solving the existence and uniqueness of singularly perturbed boundary problem. |
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| Keywords: | Volterra type integrodifferential equation upper and lower solution method existence and uniqueness |
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