| 一类非自治非线性系统解的模之估计 |
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| 引用本文： | 王廷秀. 一类非自治非线性系统解的模之估计[J]. 南京理工大学学报(自然科学版), 1987, 0(2) |
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| 作者姓名： | 王廷秀 |
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| 作者单位： | 华东工学院应用数学系 |
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| 摘 要： | 运用向量Ляпунов函数法,对线性系统、非线性系统的稳定性已经有了一些研究,但对于它们解的模之估计却不多见。Wazewski曾就变系数线性系统,给出了一个解的模之估计。本文运用向量Ляпунов函数法和Wazewski的方法,在文[1,2,3]的基础上对一类非自治非线性系统给出其解的模之估计,并给出了一类非自治非线性系统零解不稳定的充分条件,举出了应用实例。
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| 关 键 词： | 非自治系统 非线性方程 方程解 矩阵函数 模 |
The Modular Estimations of Solutions of a Type of Nonautonomous Nonlinear System |
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| Wang Tingxiu. The Modular Estimations of Solutions of a Type of Nonautonomous Nonlinear System[J]. Journal of Nanjing University of Science and Technology(Nature Science), 1987, 0(2) |
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| Authors: | Wang Tingxiu |
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| Affiliation: | Wang Tingxiu |
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| Abstract: | There have been some researches[1,2,3] on stabilityof linear system and nonlinear system by means of vector Lyapunovfunction. But, that are seldom seen as concerns modular estimationof thier solutions. For linear system with variable coefficients,Wazewski given an modular estimation of its solution[4]. By vectorLyapunov function method and Wazewski'samethod, this paper givesan modular estimation of the solution and the sufficient conditionsthat the zero solution is unstable, both of a type of nonautonomousnonlinear system based on papers[1,2,3]. Two examples are given. |
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| Keywords: | Non-autonomous-system Non-linear equation Solution of equation Matrix?functions Module |
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