On total phi(0)-stability of nonlinear systems of differential equations

Soliman AA.

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On total phi(0)-stability of nonlinear systems of differential equations

机译：非线性微分方程组的总phi（0）-稳定性

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The notions of phi(0)-stability of systems of ordinary differential equations (ODEs) were introduced. In this paper, we will extend the phi(0)-stability notion to a new type of stability called total phi(0)-stability, and give some criteria and results. Our technique depends on Liapunov's direct method. (C) 2002 Elsevier Science Inc. All rights reserved. [References: 3]

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《Applied mathematics and computation》 |2002年第1期|共10页
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Soliman AA.;
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正文语种 eng
中图分类应用数学;
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1. On total phi(0)-stability of nonlinear systems of differential equations [J] . Soliman AA. Applied mathematics and computation . 2002,第1期

机译：非线性微分方程组的总phi（0）-稳定性
2. Stability in totally nonlinear neutral differential equations with variable delay using fixed point theory [J] . Ardjouni Abdelouaheb, Djoudi Ahcene Proyecciones (Antofagasta) . 2015,第1期

机译：利用定点理论的具有时滞的完全非线性中立型微分方程的稳定性
3. Stability in totally nonlinear neutral differential equations with variable delay [J] . Abdelouaheb Ardjouni, I. Derrardjia, A. Djoudi Acta Mathematica Universitatis Comenianae . 2014,第1期

机译：具有时滞的完全非线性中立型微分方程的稳定性。
4. Application of Admissible Functions in Studying Partial Stability of Solutions of a Nonlinear System of Differential Equations [C] . M.Yu. Filimonov International Conference on Applications of Mathematics in Engineering and Economics . 2018

机译：可允许功能在差分方程的非线性系统溶液局部稳定性中的应用
5. Asymptotic Stability of Systems of Coupled Nonlinear Partial Differential Equations arising From Acoustic-Structural and Fluid-Structural Interaction. [D] . Lu, Yongjin. 2012

机译：由声-结构和流体-结构相互作用产生的耦合非线性偏微分方程系统的渐近稳定性。
6. Stability and square integrability of derivatives of solutions of nonlinear fourth order differential equations with delay [O] . Erdal Korkmaz -1

机译：时滞非线性四阶微分方程解的导数的稳定性和平方可积性。
7. Stability by Krasnoselskii's theorem in totally nonlinear neutral differential equations [O] . Ishak Derrardjia, Abdelouaheb Ardjouni, Ahcene Djoudi 2013

机译：Krasnoselskii定理在完全非线性中立型微分方程中的稳定性
8. Stability of Solitary Waves of the (Phi/sup 3/ - phi/sup 5/)-Nonlinear Schroedinger Equation under Non-Vanishing Boundary Conditions [R] . Barashenkov, I. V. , Gocheva, A. D. , Makhankov, V. G. , 1985

机译：非消失边界条件下（phi / sup 3 / - phi / sup 5 /） - 非线性schroedinger方程孤立波的稳定性

On total phi(0)-stability of nonlinear systems of differential equations

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