On stability of nonlinear systems of ordinary differential equations

被引：4

作者：

El-Sheikh, MMA

Soliman, AA ^{[1
]}

Abd Alla, MH

机构：

[1] Benha Univ, Dept Math, Fac Sci, Benha 13518, Egypt

[2] Monoufia Univ, Dept Mat Sci, Fac Sci, Shibin Al Kawm, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2000年 / 113卷 / 2-3期

关键词：

D O I：

10.1016/S0096-3003(99)00082-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The notions of phi(0)-stability, (h(0),h)-stability integral and eventual stability of nonlinear systems of ordinary differential equations (ODE's) are introduced. Our aim in this paper is to improve and extend these notions to new types of stability namely, phi(0),-L-p-stability, (h(0),h)-integral stability and (h(0),h)-eventual stability of systems of ODE's, respectively, and given some criteria. Our technique depends on Liapunov direct method. (C) 2000 Elsevier Science Inc. All rights reserved.

引用

页码：175 / 198

页数：24

共 50 条

[21] Chaotic attractors in nonlinear dissipative systems of ordinary differential equations
Magnitskii N.A.
Computational Mathematics and Modeling, 2008, 19 (1) : 7 - 22
[22] PARAMETER SENSITIVITY OF SYSTEMS DESCRIBED BY NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS
RAYZAK, RJ
LUUS, R
AICHE JOURNAL, 1971, 17 (02) : 435 - &
[23] OSCILLATION AND NONOSCILLATION FOR CERTAIN NONLINEAR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS
Naito, Manabu
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2023, 90 : 81 - 96
[24] ON THE ASYMPTOTICS OF SOLUTIONS OF NONLINEAR CYCLIC SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS
Evtukhov, V. M.
Vladova, O. S.
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2011, 54 : 1 - 25
[25] Periodic solutions of a class of nonlinear systems of ordinary differential equations
Marino, G
Toskano, R
DIFFERENTIAL EQUATIONS, 2004, 40 (04) : 502 - 514
[26] STABILITY OF SOLUTIONS FOR A CLASS OF SYSTEMS OF ORDINARY DIFFERENTIAL-EQUATIONS
GAIDUK, AR
DIFFERENTIAL EQUATIONS, 1993, 29 (08) : 1133 - 1140
[27] Preservation of stability under discretization of systems of ordinary differential equations
A. Yu. Aleksandrov
A. P. Zhabko
Siberian Mathematical Journal, 2010, 51 : 383 - 395
[28] CONDITIONS OF STABILITY FOR PERIODIC LINEAR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS
Slyn'ko, V., I
ST PETERSBURG MATHEMATICAL JOURNAL, 2019, 30 (05) : 885 - 900
[29] About of the Asymptotical Stability of Solutions of Systems of Ordinary Differential Equations
Kadry, S.
Alferov, G.
Ivanov, G.
Korolev, V
INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019, 2020, 2293
[30] Preservation of stability under discretization of systems of ordinary differential equations
Aleksandrov, A. Yu.
Zhabko, A. P.
SIBERIAN MATHEMATICAL JOURNAL, 2010, 51 (03) : 383 - 395

← 1 2 3 4 5 →