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.

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页码：175 / 198

页数：24

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