%0 Journal Article
%T 污染环境下森林发展系统的最优控制<br>Optimal control of forest evolution system in polluted environment
%A 曹雪靓
%A 雒志学&lt
%A br&gt
%A CAO Xue-jing
%A LUO Zhi-xue
%J 山东大学学报（理学版）
%D 2018
%R 10.6040/j.issn.1671-9352.0.2017.578
%X 摘要： 研究了污染环境下一类森林发展系统的最优控制问题。首先,提出所研究的模型并通过Banach不动点定理证明了解的存在唯一性,然后根据凸泛函的性质以及Mazur引理得出最优控制的唯一解。<br>Abstract: The optimal control problem of a forest evolution system in polluted environment was discussed. Firstly, the model was proposed and the existence and uniqueness of the solution were proved by Banach fixed point theorem. Then, the unique solution of the optimal control is obtained according to the properties of convex functional and Mazur lemma
%K Banach不动点定理
%K 森林发展系统
%K Mazur引理
%K 最优控制
%K 环境污染
%K &lt
%K br&gt
%K forest evolution system
%K optimal control
%K Banach fixed point theorem
%K environmental pollution
%K Mazur lemma
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2017.578