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年龄相关的半线性种群扩散系统的最优收获控制
Optimal Harvesting Control for a Semilinear Age-dependent Populatoin Diffusion System
【摘要】 研究年龄相关的半线性种群扩散系统的最优收获控制问题,证明了最优收获控制的存在性,得到了收获控制为最优的必要条件和由偏微分方程与变分不等式所构成的最优性组,由最优性组确定最优控制.
【Abstract】 This paper discusses the problem of the optimal harvesting control problem for a semilinear age-dependent population diffusion system. It proves the existence of the optimal harvesting control, obtains the necessary condition for a control to be optimal, and then the optimality system consisting of integro-partial differential equations and variational inequlities, where the optimality system determines the optimal control.
【关键词】 最优收获控制;
必要条件;
最优性组;
种群扩散系统;
积分-偏微分方程组;
【Key words】 optimal harvesting control; necessary condition; optimality system; population diffusion system; integro-partial differential equations;
【Key words】 optimal harvesting control; necessary condition; optimality system; population diffusion system; integro-partial differential equations;
【基金】 国家自然科学基金(10071012)
- 【文献出处】 应用泛函分析学报 ,Acta Analysis Functionalis Applicata , 编辑部邮箱 ,2004年03期
- 【分类号】O232
- 【被引频次】9
- 【下载频次】152