Optimal Control Problem of Positive Solutions to Second Order Impulsive Differential Equations

被引：8
|
作者：
Zhang, Lingling [1 ]
Yamazaki, Noriaki [2 ]
Zhai, Chengbo [3 ]
机构：
[1] Taiyuan Univ Technol, Dept Math, Taiyuan, Peoples R China
[2] Kanagawa Univ, Dept Math, Kanagawa, Japan
[3] Shanxi Univ, Sch Math Sci, Taiyuan, Peoples R China
来源：
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2012年 / 31卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Positive solutions; second order impulsive differential equations; fixed point theorem; optimal control problem; BOUNDARY-VALUE-PROBLEMS; BANACH-SPACES; INTEGRODIFFERENTIAL EQUATIONS; EVOLUTION-EQUATIONS; EXISTENCE; OPERATORS;
D O I：
10.4171/ZAA/1457
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider optimal control problem of second order impulsive differential equations. We show the existence and uniqueness of positive solutions to our problem for each given control functions. Also, we consider the control problem of positive solutions to our equations. Then, we prove the existence of an optimal control that minimizes the nonlinear cost functional. Moreover we give an example of the main results.
引用
收藏
页码：237 / 250
页数：14
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