Constructive method for solving a boundary value problem for ordinary differential equations

被引：3

作者：

Aisagaliev, S. A. ^{[1
]}

Kalimoldaev, M. N. ^{[1
]}

机构：

[1] Al Farabi Kazakh Natl Univ, Alma Ata, Kazakhstan

来源：

DIFFERENTIAL EQUATIONS | 2015年 / 51卷 / 02期

关键词：

Optimal Control Problem; State Constraint; Fredholm Integral Equation; Constructive Method; Integral Constraint;

D O I：

10.1134/S0012266115020019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We suggest a method for solving a boundary value problem for ordinary differential equations with boundary conditions in the presence of state and integral constraints. The method is based on the embedding principle, which permits one to reduce the original boundary value problem to a special optimal control problem with the use of the general solution of a Fredholm integral equation of the first kind.

引用

页码：149 / 162

页数：14

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