摘要
研究了带有中性技术进步生产函数边界条件的非线性资产投资系统的最优控制问题.利用解的先验估计和Banach空间不动点原理,得到了系统解的存在唯一性.应用极小化序列法和紧性方法,证明了控制问题最优解的存在性.
The optimal control problem of nonlinear asset investment system with boundary condition of neutral production function is studied,by using the priori estimation of solution and the principle of fixed point in Banach space,the existence and uniqueness of solution are obtained.The existence of the optimal solution of the control problem are proved by using the minimization sequence method and compactness method.
作者
孔凡亮
付丽娜
徐加波
KONG Fan-liang;FU Li-na;XU Jia-bo(School of Mathematics and Physics,Xinjiang Institute of Engineering,Urumqi 830023,China;School of Information Engineering,Xinjiang Institute of Engineering,Urumqi 830023,China)
出处
《东北师大学报（自然科学版）》
CAS
北大核心
2021年第4期11-17,共7页
Journal of Northeast Normal University(Natural Science Edition)
基金
新疆维吾尔自治区科技厅项目(2021D01B35,2021D01A65)
新疆维吾尔自治区高校科研计划项目(XJEDU2017M041).
关键词
中性技术进步
不动点定理
最优控制
紧性
neutral technological progress
fixed point theorem
optimal control
compactness
