| 离散大系统解的有界性与周期解的存在性 |
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| 引用本文： | 温香彩.离散大系统解的有界性与周期解的存在性[J].河南师范大学学报(自然科学版),1994,22(1):10-13. |
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| 作者姓名： | 温香彩 |
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| 作者单位： | 河南师范大学数学系 |
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| 摘 要： | 本文分别利用向量Ｌｙａｐｕｎｏｖ函数方法和标量Ｌｙａｐｕｎｏｖ函数方法，给出了判定离散大系统解的有界性与周期解的存在性的充分条件，并讨论了一类具有非线性时变周期离散大系统的平稳振荡存在性问题．
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| 关 键 词： | M－矩阵 一致最终有界 平稳振荡 |
Tbe Boundary of Solution and the Existence of Period Solution for Large Seale Discrete System |
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| Wen Xiangcai.Tbe Boundary of Solution and the Existence of Period Solution for Large Seale Discrete System[J].Journal of Henan Normal University(Natural Science),1994,22(1):10-13. |
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| Authors: | Wen Xiangcai |
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| Abstract: | In the paper,we consider the boundary of solution and the existence of period solutionfor large scale discrete system for the first time,give some sufficient conditions to essure the solution hav-ing boundary or the existence of period solution by using the method of vector Lyapunov function andscalar Lyapunov function,respectively.Further,we discuss the problem of stable oscillation for a class oflarge scale non-linear time-varying period discrete system. |
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| Keywords: | M-Matrice uniformly ultimate bound stable oscillation |
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