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

页码：237 / 250

页数：14

共 50 条

[1] POSITIVE PERIODIC SOLUTIONS FOR SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATIONS
Shen, Jianhua
Wang, Weibing
He, Zhimin
DEMONSTRATIO MATHEMATICA, 2011, 44 (02) : 297 - 316
[2] Positive periodic solutions for second order differential equations with impulsive effects
Wang, Weibing
Yang, Xuxin
BOUNDARY VALUE PROBLEMS, 2015,
[3] Positive periodic solutions for second order differential equations with impulsive effects
Weibing Wang
Xuxin Yang
Boundary Value Problems, 2015
[4] Positive Solutions of Second Order Impulsive Differential Equations with Boundary Value Problems
Li, Haichun
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 623 - 628
[5] Positive solutions for second order impulsive differential equations with integral boundary conditions
Hao, Xinan
Liu, Lishan
Wu, Yonghong
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2011, 16 (01) : 101 - 111
[6] Positive Solutions for Impulsive Differential Equations with Mixed Monotonicity and Optimal Control
Zhang, Lingling
Yamazaki, Noriaki
Guo, Rui
ABSTRACT AND APPLIED ANALYSIS, 2014,
[7] Existence of solutions for second order impulsive differential equations
Zhitao Z.
Applied Mathematics-A Journal of Chinese Universities, 1997, 12 (3) : 307 - 320
[8] Multiplicity of positive solutions to M-point boundary value problem of second order impulsive differential equations
Yuan-sheng Tian
Chun-gen Liu
Acta Mathematicae Applicatae Sinica, English Series, 2010, 26 : 145 - 158
[9] Multiplicity of positive solutions to M-point boundary value problem of second order impulsive differential equations
Tian, Yuan-sheng
Liu, Chun-gen
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2010, 26 (01): : 145 - 158
[10] EXISTENCE OF SOLUTIONS FOR SECOND ORDER IMPULSIVE DIFFERENTIAL EQUATIONS
LAI SHAOYONG AND MU CHUNLAI
Applied Mathematics:A Journal of Chinese Universities(Series B), 1997, (03) : 57 - 70

← 1 2 3 4 5 →