A Method of Stabilization by the Right-Hand Side for a System of Ordinary Differential Equations

被引：0

作者：

Kalinina, A. B. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Leninskie Gory, Moscow 119991, Russia

来源：

MOSCOW UNIVERSITY MATHEMATICS BULLETIN | 2008年 / 63卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.3103/S0027132208040104

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A problem of construction of a correction for the right-hand side of an ordinary differential equation to ensure desired behavior of the solution is considered. A mathematical statement of the problem, an existence theorem for the desired correction, an algorithm of its construction, and results of numerical experiments are presented.

引用

页码：171 / 173

页数：3

共 50 条

[1] On ordinary differential equations with quasimonotone increasing right-hand side
Herzog, G
[J]. ARCHIV DER MATHEMATIK, 1998, 70 (02) : 142 - 146
[2] On ordinary differential equations with quasimonotone increasing right-hand side
Gerd Herzog
[J]. Archiv der Mathematik, 1998, 70 : 142 - 146
[3] ORDINARY DIFFERENTIAL-EQUATIONS WITH SINGULARITIES ON THE RIGHT-HAND SIDE
FILIPPOV, VV
[J]. MATHEMATICAL NOTES, 1985, 38 (5-6) : 964 - 974
[4] Ordinary differential equations with a non-Lipschitz right-hand side
O. E. Zubelevich
[J]. Doklady Mathematics, 2012, 86 : 545 - 548
[5] On periodic solutions of ordinary differential equations with discontinuous right-hand side
Zuev, AV
[J]. MATHEMATICAL NOTES, 2006, 79 (3-4) : 518 - 527
[6] Ordinary differential equations with a non-Lipschitz right-hand side
Zubelevich, O. E.
[J]. DOKLADY MATHEMATICS, 2012, 86 (01) : 545 - 548
[7] On periodic solutions of ordinary differential equations with discontinuous right-hand side
A. V. Zuev
[J]. Mathematical Notes, 2006, 79 : 518 - 527
[8] Parameter dependence for a class of ordinary differential equations with measurable right-hand side
Klose, Daniela
Schuricht, Friedemann
[J]. MATHEMATISCHE NACHRICHTEN, 2011, 284 (04) : 507 - 517
[9] ORDINARY DIFFERENTIAL-EQUATIONS WITH A CONTINUOUS RIGHT-HAND SIDE IN FRECHET SPACES
LOBANOV, SG
[J]. MATHEMATICAL NOTES, 1993, 53 (3-4) : 410 - 417
[10] Movable singular points of ordinary differential equations with algebraic singularities of the right-hand side
Sobolevskii, SL
[J]. DIFFERENTIAL EQUATIONS, 2003, 39 (03) : 381 - 386

← 1 2 3 4 5 →