TO THE SOLUTION OF A BOUNDARY VALUE PROBLEM WITH A PARAMETER FOR ORDINARY DIFFERENTIAL EQUATIONS

被引：0

作者：

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

Zhunussova, Zh Kh ^{[1
]}

机构：

[1] Al Farabi Kazakh Natl Univ, Fac Mech & Math, Al Farabi Ave 71,Bldg 13, Alma Ata 050040, Kazakhstan

来源：

UFA MATHEMATICAL JOURNAL | 2016年 / 8卷 / 02期

关键词：

immersion principle; optimization problem; minimizing sequences; integral equation; Sturm-Liouville problem;

D O I：

10.13108/2016-8-2-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose a method for solving a boundary value problem with a parameter under the presence of constraints for state and integral constraints. We obtain the necessary and sufficient conditions solvability for the boundary value problem with a parameter for ordinary differential equations. A method for constructing the solution to the boundary value problem with a parameter and constraints is developed by constructing minimizing sequences. The basis of the proposed method for solving the boundary value problem is the immersion principle. The immersion principle is created by finding the general solution for a class of the first kind Fredholm integral equations. As an example, the solution of the Sturm-Liouville problem for a parameter value in a prescribed interval is given.

引用

页码：3 / 13

页数：11

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