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| 一类非线性人口问题的渐近解 | |
| 引用本文： | 温朝晖,张伟江,何铭,莫嘉琪.一类非线性人口问题的渐近解[J].应用数学学报,2010,33(4). |
| 作者姓名： | 温朝晖 张伟江 何铭 莫嘉琪 |
| 作者单位： | 1. 安徽财经大学统计与应用数学学院,蚌埠,233030 2. 上海交通大学数学系,上海200240;上海高校计算科学E- 研究院SJTU研究所,上海200240 3. 安徽师范大学数学系,芜湖,241000 |
| 基金项目： | 国家自然科学基金，中国科学院知识创新工程重要方向，公益性行业科研专项，LASG国家重点实验室专项经费;上海市教育委员会B研究院建设计划，浙江省自然科学基金 |
| 摘 要： | 本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-致有效性. |
| 关 键 词： | 非线性 人口问题 渐近解 |
Asymptotic Solution for a Class of Nonlinear Population Problem for Recurrent Event Data |
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| WEN ZHAOHUI,ZHANG WEIJIANG,HE MING,MO JIAQI.Asymptotic Solution for a Class of Nonlinear Population Problem for Recurrent Event Data[J].Acta Mathematicae Applicatae Sinica,2010,33(4). | |
| Authors: | WEN ZHAOHUI ZHANG WEIJIANG HE MING MO JIAQI |
| Institution: | WEN ZHAOHUI (Institute of Applied Mathematics,School of Statistics and Applied Mathematics,Anhui University of Finance and Economics,Bengbu 233030) ZHANG WEIJIANG HE MING (Department of Mathematics,Shanghai Jiaotong University,Shanghai 241000) (Division of Computational Science,E-Institutes of Shanghai Universities,at SJTU,Shanghai 200240) MO JIAQI (Department of Mathematics,Anhui Normal University,Wuhu 241000) |
| Abstract: | A class of nonlinear singularly perturbed population problem is considered.Under some 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 for the solution is constructed,and finally,using the theory of differential inequalities the uniform validity of the solution are studied. |
| Keywords: | nonlinear population problem asymptotic solution |
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