| ON THE STABILITY OF DIFFERENTIAL SYSTEMS WITH TIME LAG |
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| 作者姓名： | 钟益林 |
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| 作者单位： | ChangdeTeachers＇College,415000 |
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| 摘 要： | In this paer the inequality of Lemma 1 of 1] is extended.By means of our inequality and the method of Lyapunov function we study the stability of two kinds of large seate differential systems with time lag and the stability of a higher -order differential equation with time lag.The sufficient conditions for the stability(S.),the asymptotic stability(A.S.),the uniformly asymptotic stability(U.A.S) and the exponential asymptotic stability(E.A.S.) of the zero solutions of the systerms are obtained respectively.
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| 关 键 词： | 时滞偏微分 渐进稳定性 不平衡性 连续矩阵 |
| 收稿时间： | 8 May 1991 |
On the stability of differential systems with time lag |
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| Zhong Yilin.ON THE STABILITY OF DIFFERENTIAL SYSTEMS WITH TIME LAG[J].Applied Mathematics A Journal of Chinese Universities,1993,8(2):126-134. |
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| Authors: | Zhong Yilin |
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| Institution: | (1) Changde Teachers’ College, 415000 Changde, China |
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| Abstract: | In this paper the inequality of Lemma 1 of 1] is extended. By means of our inequality and the method of Lyapunov function we study the stability of two kinds of large scale differential systems with time lag and the stability of a higher-order differential equation with time lag. The sufficient conditions for the stability (S. ), the asymptotic stability (A. S. ), the uniformly asymptotic stability (U. A. S. ) and the exponential asymptotic stability (E. A. S. ) of the zero solutions of the systems are obtained respectively. |
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| Keywords: | Differential Systems with Time Lag Stability Stable Degree F-Function Inequality |
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