| 年龄相关非线性种群扩散系统解的存在性和最优收获控制 |
| |
| 引用本文： | 高海音.年龄相关非线性种群扩散系统解的存在性和最优收获控制[J].吉林大学学报(理学版),2007,45(4):544-554. |
| |
| 作者姓名： | 高海音 |
| |
| 作者单位： | 长春大学 应用数学系, 长春 130022 |
| |
| 摘 要： | 建立了年龄相关的非线性种群扩散系统, 利用抛物偏微分方程理论和延滞法, 证明了系统广义解的存在性及系统最优控制的存在性, 并给出最优控制的必要条件.
|
| 关 键 词： | 种群扩散系统 广义解 存在性 最优控制 |
| 文章编号： | 1671-5489（2007）04-0544-11 |
| 收稿时间： | 2006-09-28 |
| 修稿时间： | 2006-09-28 |
Existence of Solution and Optimal Harvesting Control for Nonlinear Age-dependent Population Diffusion System |
| |
| GAO Hai-yin.Existence of Solution and Optimal Harvesting Control for Nonlinear Age-dependent Population Diffusion System[J].Journal of Jilin University: Sci Ed,2007,45(4):544-554. |
| |
| Authors: | GAO Hai-yin |
| |
| Institution: | Department of Applied Mathematics, Changchun University, Changchun 130022, China |
| |
| Abstract: | The nonlinear age-dependent population diffusion system was established. The existence of the generalized solution and that of the optimal control for the system were proved via the theory of partial differential equations combined with the delay method. The necessary conditions for the optimal control was given. |
| |
| Keywords: | population diffusion system generalized solution existence optimal control |
| 本文献已被 维普 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
