| 正负系数的扰动的中立型微分方程的稳定性 |
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| 引用本文： | 叶海平,高国柱.正负系数的扰动的中立型微分方程的稳定性[J].高校应用数学学报(英文版),2002,17(3):267-272. |
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| 作者姓名： | 叶海平 高国柱 |
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| 作者单位： | Dept.ofAppl.Math.,DonghuaUniv.,Shanghai200051,China |
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| 基金项目： | the Science Foundation of Donghua University |
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| 摘 要： | In this paper the perturbed neutral differential equation with positive and negative coefficients d/dtx(t)-C(t)x(t-r)] p(t)x(t-x)-Q(t)x(t-δ)=f(t,x(t)),t≥t0is considered. Sufficient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable are obtained.
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| 关 键 词： | 正负系数 扰动 微分方程 中立型 稳定性 |
Stability of perturbed neutral differential equations with positive and negative coefficients |
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| Haiping Ye,Guozhu Gao.Stability of perturbed neutral differential equations with positive and negative coefficients[J].Applied Mathematics A Journal of Chinese Universities,2002,17(3):267-272. |
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| Authors: | Haiping Ye Guozhu Gao |
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| Institution: | (1) Dept. of Appl. Math., Donghua Univ., 200051 Shanghai, China |
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| Abstract: | In this paper the perturbed neutral differential equation with positive and negative coefficients (d)/(dt)x(t)-C(t)x(t-r)]+P(t)x(t-τ)-Q(t)x(t-σ)=f(t,x(t)), t≥t0 is considered. Sufficient conditions for the zero solution of this equation to be uniformly stable as well as asymptotically stable are obtained. |
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| Keywords: | neutral equation uniform stability asymptotic stability perturbing term |
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