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STABILITY OF PERTURBED NEUTRAL DIFFERENTIAL EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS 被引量:1

STABILITY OF PERTURBED NEUTRAL DIFFERENTIAL EQUATIONS WITH POSITIVE AND NEGATIVE COEFFICIENTS
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摘要 In this paper the perturbed neutral differential equation with positive and negative coefficientsddt[x(t)-C(t)x(t-r)]+P(t)x(t-τ)-Q(t)x(t-σ)=f(t,x(t)), t≥t 0is considered. Sufficient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable are obtained. In this paper the perturbed neutral differential equation with positive and negative coefficientsddt[x(t)-C(t)x(t-r)]+P(t)x(t-τ)-Q(t)x(t-σ)=f(t,x(t)), t≥t 0is considered. Sufficient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable are obtained.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2002年第3期267-272,共6页 高校应用数学学报(英文版)(B辑)
基金 the Science Foundation of Donghua University
关键词 neutral equation uniform stability asymptotic stability perturbing term. neutral equation, uniform stability, asymptotic stability, perturbing term.
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  • 1Shen, J.H., Yu, J. S.,Asymptoticbehavior of solutions of neutral differential equations with positive and negativecoefficients, J.Math. Anal.Appl.,1995,195:517-526. 被引量:1
  • 2Shen, J.H.,Oscillation for neutral differential equations with positive andnegative coefficients, Acta Sci.Natur.Univ.Norm.Hunan,1994,17(1):7-12. 被引量:1
  • 3Yu, J.S.,Asymptotic stability for nonautonomous scalar neutral differentialequations, J.Math.Anal.Appl.,1996,203:850-860. 被引量:1

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