| 与年龄相关的非线性种群扩散方程广义解的存在性 |
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| 引用本文： | 陈任昭,李健全,付军.与年龄相关的非线性种群扩散方程广义解的存在性[J].东北师大学报(自然科学版),2001,33(3):3-13. |
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| 作者姓名： | 陈任昭 李健全 付军 |
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| 作者单位： | 1. 东北师范大学数学系吉林长春 130024
2. 北京信息控制研究所北京 100037 |
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| 基金项目： | 国家自然科学基金资助项目 (1 0 0 0 71 0 1 2 ) |
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| 摘 要： | 讨论了一类与年龄相关和空间扩散的非线性时变种群扩散方程广义解的存在性问题，利用抛物偏微分方程的有关理论和延滞法，证明了方程广义解的存在性，为讨论这一系统最优控制等问题提供了严格的理论依据。
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| 关 键 词： | 年龄 非线性种群扩散方程 广义解 存在性 |
| 文章编号： | 1000-1832(2001)03-0003-11 |
Existence of the generalized solution for the nonlinear age_dependnet population diffusion equation |
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| CHEN Ren zhao ,LI Jian quan ,FU Jun.Existence of the generalized solution for the nonlinear age_dependnet population diffusion equation[J].Journal of Northeast Normal University (Natural Science Edition),2001,33(3):3-13. |
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| Authors: | CHEN Ren zhao LI Jian quan FU Jun |
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| Institution: | CHEN Ren zhao 1,LI Jian quan 2,FU Jun 2 |
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| Abstract: | This paper discusses the problem for the existence of the generalized solution to a class of the nonliner time_varying population equation with age-dependence and spatial diffusion. It proves the existence of generalized solution to the equation by using the theory of partial differential equations and the method involving a delay. The results obtained can provide a strict theoretical basis for the study of optimal control problems in the system. |
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| Keywords: | age-dependent nonlinear population equation with diffusion generalized solution existence |
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