| 一类含有小迟滞的奇摄动方程组的渐近解 |
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| 引用本文： | 葛志新,陈咸奖.一类含有小迟滞的奇摄动方程组的渐近解[J].数学杂志,2014,34(4):712-716. |
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| 作者姓名： | 葛志新 陈咸奖 |
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| 作者单位： | 安徽工业大学数理学院, 安徽 马鞍山 243002,安徽工业大学经济学院, 安徽 马鞍山 243002 |
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| 基金项目： | 安徽省高校优秀青年人才基金项目(2012SQRL037) |
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| 摘 要： | 本文研究了一类含有小迟滞的奇摄动方程组的渐近解.利用原问题的退化形式和伸长变量,依据边界层特有的性质,获得了边界层的渐近解.推广了奇摄动方程组初值问题和小迟滞问题的研究结果.
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| 关 键 词： | 奇摄动 方程组 小延迟 |
| 收稿时间： | 2013/3/29 0:00:00 |
| 修稿时间： | 2013/6/13 0:00:00 |
THE ASYMPTOTIC SOLUTION OF A CLASS OF SINGULARLY PERTURBED SYSTEM OF EQUATIONS WITH SMALL DELAY |
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| GE Zhi-xin and CHEN Xian-jiang.THE ASYMPTOTIC SOLUTION OF A CLASS OF SINGULARLY PERTURBED SYSTEM OF EQUATIONS WITH SMALL DELAY[J].Journal of Mathematics,2014,34(4):712-716. |
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| Authors: | GE Zhi-xin and CHEN Xian-jiang |
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| Institution: | School of Mathematics & Physics, Anhui University of Technology, Maanshan 243002, China and School of Economics, Anhui University of Technology, Maanshan 243002, China |
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| Abstract: | The asymptotic solution of a class of singularly perturbed system of equations with small delay are studied in this paper.By the degenerate form of the original problem,stretched variable and the nature of the boundary layers,the asymptotic solutions of the boundary layers are given,which generalizes the findings of singularly perturbed system of equations and small delay problems. |
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| Keywords: | singular perturbation system of equations small delay |
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