| 具有边界摄动的二阶微分方程的奇摄动问题 |
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| 引用本文： | 唐荣荣. 具有边界摄动的二阶微分方程的奇摄动问题[J]. 中山大学学报(自然科学版), 2004, 43(3): 116-118 |
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| 作者姓名： | 唐荣荣 |
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| 作者单位： | 湖州师范学院数学系,浙江,湖州,313000 |
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| 基金项目： | 浙江省自然科学基金，浙江省教育厅资助项目，湖州师范学院校科研和教改项目 |
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| 摘 要： | 研究了一类具有边界摄动的奇摄动问题,在适当的条件下,利用微分不等式理论证明了边值问题解的存在性,讨论了其解的渐近性态.
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| 关 键 词： | 奇摄动 边界摄动 微分不等式 |
| 文章编号： | 0529-6579(2004)03-0116-03 |
| 修稿时间： | 2003-07-11 |
The Singularly Perturbed Problem for Differential Equation of Second Order with Boundary Perturbation |
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| TANG Rong-rong. The Singularly Perturbed Problem for Differential Equation of Second Order with Boundary Perturbation[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2004, 43(3): 116-118 |
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| Authors: | TANG Rong-rong |
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| Abstract: | A class of singularly perturbed problems with boundary perturbation is considered. Under suitable conditions and using the theory of differential inequalities, the existence of solution is proved and the asymptotic behavior of solution for the boundary value problem is studied. |
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| Keywords: | singular perturbation boundary perturbation differential inequality |
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