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Applied Mathematics and Mechanics(English Edition) 2008年第5期29卷 559-569页

作者：朱砾李秀华郭兴明 Department of Mathematics Xiangtan University Shanghai Institute of Applied Mathematics and Mechanics Shanghai University

In the paper we discuss some properties of the state operators of the optimal obstacle control problem for elliptic variational ***,uniqueness and regularity of the optimal control,problem are *** addition,the approxi... 详细信息

关键词： obstacle problem penalized method optimality system approximate problem

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Optimal Distributed Control for Age-dependent Population Diffusion system

Optimal Distributed Control for Age-dependent Population Dif...

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2010 Chinese Control and Decision Conference

作者： Jun Fu~1,Renzhao Chen~2 1.School of Mathematics,Jilin Normal University,Siping Jilin,136000,China 2.School of Mathematics and Statistics,Northeast Normal University,Changchun Jilin 130024,China

＜正＞The optimal distributed control problem for age-dependent population diffusion system governed by integral partial differential equations is *** existence and uniqueness of the optimal distributed control is *** necessary and sufficient condition for a control to be optimal is obtained;and then the optimality system consisting of integral partial differential equations and variational inequalities is *** optimality system can determine optimal *** application of penalty shifting method that Di Pillo statemented for infinte dimensional systems to the approximate solution of control problems for the population system is *** approximation program is structured,and the convergence of the approximating sequence on appropriate Hilbert spaces is proved.

关键词： population diffusion system optimal distributed control necessary and sufficient condition optimality system penalty shifting method

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Optimal Fertility Rate Control for a Semi-linear Population system with Final State Observation

Optimal Fertility Rate Control for a Semi-linear Population ...

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2011 Chinese Control and Decision Conference（CCDC）

作者： Jun Fu,Zhi Wen zhao are College of Mathematics,Jilin Normal University,Jilin Siping 136000,China Hong Zhu is College of Computer,Jilin Normal University,Jilin Siping 136000,China

This paper discusses the optimal fertility rate control problem of a semi-linear population system with final state observation,proves the existence of the optimal fertility rate control,gives the necessary condition for control to be optimal and its optimality *** results can provide the mathematical theory basis for the practical research of the optimal control problem in population system.

关键词： Semi-linear population system Optimal fertility rate control Mazur’s theorem optimality system Variational inequalities

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Optimal Harvesting Control for Age-dependent Nonlinear Time-varying Population system

Optimal Harvesting Control for Age-dependent Nonlinear Time-...

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2011 Chinese Control and Decision Conference（CCDC）

作者： Hong Zhu are with College of Computer,Jilin Normal University,Jilin Siping 136000,China Jun Fu,Yifu Feng is with the College of Mathematics,Jilin Normal University,Jilin Siping 136000,China

The optimal harvesting control problem for agedependent nonlinear time-varying population system is *** existence of optimal harvesting control for the system is proved by using Mazur ***,by making use of the definiti... 详细信息

关键词： Nonlinear time-varying population system Optimal harvesting control Necessary condition optimality system

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