| 非线性奇摄动人口问题的渐近解 |
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| 引用本文： | 莫嘉琪,姚静荪.非线性奇摄动人口问题的渐近解[J].安徽师范大学学报(自然科学版),2007,30(3):205-208. |
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| 作者姓名： | 莫嘉琪 姚静荪 |
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| 作者单位： | 安徽师范大学,数学计算机学院,安徽,芜湖,241000;上海高校计算科学E-研究院,上海交通大学研究所,上海,200240;安徽师范大学,数学计算机学院,安徽,芜湖,241000 |
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| 基金项目： | 国家自然科学基金
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国家重点基础研究发展计划(973计划)
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中国科学院资助项目
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上海市教委资助项目 |
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| 摘 要： | 研究了一类非线奇摄动人口问题.在适当的条件下,首先求出了原问题的外部解,然后利用伸长变量和幂级数展开理论构造出解的形式渐近展开式.最后利用微分不等式理论,讨论了问题解的一致有效性.
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| 关 键 词： | 非线性 人口问题 渐近解 |
| 文章编号： | 1001-2443（2007）03-0205-04 |
| 收稿时间： | 2007-01-30 |
| 修稿时间： | 2007-01-30 |
The Asymptotic Solution of Singularly Perturbed Problem for Nonlinear Population |
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| MO Jia-qi,YAO Jing-sun.The Asymptotic Solution of Singularly Perturbed Problem for Nonlinear Population[J].Journal of Anhui Normal University(Natural Science Edition),2007,30(3):205-208. |
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| Authors: | MO Jia-qi YAO Jing-sun |
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| Institution: | 1. College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China; 2. Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China |
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| Abstract: | A class of nonlinear singularly perturbed population problem is considered. Under suitable conditions, firstly, the outer solution of the original problem is obtained, secondly, using the stretched variable and the expanding theory of power series the formal asymptotic expansions of the solution is constructed, and finally, using the theory of differential inequalities the uniform validity of the solution are studied. |
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| Keywords: | nonlinear population problem asymptotic solution |
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