| 含有界时滞的Gilpin-Ayala系统的渐近性质 |
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| 引用本文： | 周小平,周平.含有界时滞的Gilpin-Ayala系统的渐近性质[J].四川师范大学学报(自然科学版),1999,22(4):382-386. |
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| 作者姓名： | 周小平 周平 |
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| 作者单位： | 四川师范大学数学系,四川,成都,610066 |
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| 摘 要： | 运用Ｌｙｏｐｕｎｏｖ泛函及负定矩阵的一些性质，讨论了含有界时滞的ＧｉｌｐｉｎＡｙａｌａ系统，获得判别这类系统的平衡态全局渐近稳定、渐近稳定以及解的持久性的充分条件．最后，通过两个例子说明其方法的有效性．
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| 关 键 词： | Gilpin-Ayala系统 Lyapunov泛函 负定矩阵 稳定性 持久性 |
Asymptotic Behavior of Gilpin-Ayala Systems with Bounded Delays |
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| ZHOU Xiao-ping,ZHOU Ping.Asymptotic Behavior of Gilpin-Ayala Systems with Bounded Delays[J].Journal of Sichuan Normal University(Natural Science),1999,22(4):382-386. |
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| Authors: | ZHOU Xiao-ping ZHOU Ping |
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| Abstract: | This paper discuses Gilpin Ayala systems with bounded delays. Some sufficient
conditions for globally asymptotic stability, asymptotic stability and permanence of the solutions
of the systems are obtained by using Lyapunov functional and properties of negative definite
matrix. And, two examples are used to illustrate the results. |
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| Keywords: | Gilpin Ayala systems Lyapunov functional Negative definite matrix Stability Permanence |
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