Method for solving a nonlinear spectral problem for a system of ordinary differential equations with redundant conditions

被引：0
作者：
A. A. Abramov
L. F. Yukhno
机构：
[1] Russian Academy of Sciences,Dorodnicyn Computing Centre
[2] Moscow Institute of Physics and Technology,Institute for Applied Mathematics
[3] Russian Academy of Sciences,undefined
[4] National Research Nuclear University MEPHI (Moscow Engineering Physics Institute),undefined
来源：
Differential Equations | 2015年 / 51卷
关键词：
Fundamental Solution; Spectral Problem; Auxiliary Problem; Nonlocal Condition; Nonlocal Problem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a nonlinear spectral problem for a system of ordinary differential equations supplemented with nonlocal conditions given by a Stieltjes integral. In addition to the main conditions, the solution is subjected to redundant conditions, which are nonlocal as well. To ensure the nontrivial solvability of the “overdetermined” problem thus obtained, the original problem is replaced by an auxiliary problem, which is consistent under the whole set of conditions. We obtain this auxiliary problem from the original one by allowing a discrepancy of a certain form. We study the resulting problem and provide a numerical solution method.
引用
收藏
页码：862 / 871
页数：9
相关论文
共 50 条
[1]   Method for Solving a Nonlinear Spectral Problem for a System of Ordinary Differential Equations with Redundant Conditions [J].
Abramov, A. A. ;
Yukhno, L. F. .
DIFFERENTIAL EQUATIONS, 2015, 51 (07) :862-871
[2]   Nonlinear spectral problem for a Hamiltonian system of differential equations with redundant conditions [J].
A. A. Abramov ;
L. F. Yukhno .
Differential Equations, 2014, 50 :866-872
[3]   Nonlinear spectral problem for a Hamiltonian system of differential equations with redundant conditions [J].
Abramov, A. A. ;
Yukhno, L. F. .
DIFFERENTIAL EQUATIONS, 2014, 50 (07) :866-872
[4]   A nonlinear singular eigenvalue problem for a linear system of ordinary differential equations with redundant conditions [J].
Abramov, A. A. ;
Yukhno, L. F. .
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2016, 56 (07) :1264-1268
[5]   Nonlinear spectral problem for a singular system of ordinary differential equations with a nonlocal condition [J].
A. A. Abramov ;
L. F. Yukhno .
Differential Equations, 2013, 49 :917-921
[6]   Nonlinear spectral problem for a singular system of ordinary differential equations with a nonlocal condition [J].
Abramov, A. A. ;
Yukhno, L. F. .
DIFFERENTIAL EQUATIONS, 2013, 49 (07) :917-921
[7]   Nonlinear eigenvalue problem for a system of ordinary differential equations subject to a nonlocal condition [J].
A. A. Abramov ;
L. F. Yukhno .
Computational Mathematics and Mathematical Physics, 2012, 52 :213-218
[8]   Nonlinear Eigenvalue Problem for a System of Ordinary Differential Equations Subject to a Nonlocal Condition [J].
Abramov, A. A. ;
Yukhno, L. F. .
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2012, 52 (02) :213-218
[9]   On the number of an eigenvalue of a general nonlinear self-adjoint spectral problem for systems of ordinary differential equations [J].
A. A. Abramov ;
V. I. Ul’yanova ;
L. F. Yukhno .
Differential Equations, 2010, 46 :1063-1067
[10]   On the number of an eigenvalue of a general nonlinear self-adjoint spectral problem for systems of ordinary differential equations [J].
Abramov, A. A. ;
Ul'yanova, V. I. ;
Yukhno, L. F. .
DIFFERENTIAL EQUATIONS, 2010, 46 (07) :1063-1067
12345