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Stability of a Certain Retard Functional Differential Equation

Stability of a Certain Retard Functional Differential Equation
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摘要 The authors obtain some sufficient conditions for the stability of zero solutions to some types of the functional equation. (x)(t)+ p(t)-x(t)+q(t)x(t)+f (t, xt)=0 by transformations and the Liapunov's Second method. The obtained conclusions generalize some results of Stability of Equation (x)(t)+p(t)(x)(t)+q(t)x(t)=0 and Jack Hale in his paper of Theory of Functional Differential Equations. The authors obtain some sufficient conditions for the stability of zero solutions to some types of the functional equation. x(t) +p(t)x(t) +q(t)x(t) +f (t, xt) = 0 by transformations and the Liapunov's Second method. The obtained conclusions generalize some results of Stability of Equation x (t) +p( t) x(t) + q(t)x(t) =0 and Jack Hale in his paper of Theory of Functional Differential Equations.
出处 《Journal of Donghua University(English Edition)》 EI CAS 2003年第2期42-44,共3页 东华大学学报(英文版)
关键词 functional differential equation uniform stability equiasymptotically stability uniformly asymptotical stability. 稳定性 勒茹米定理 时滞泛函微分方程 数学分析 连续函数
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  • 1廖晓昕,稳定性的数学理论及应用,1988年,20页 被引量:1

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