| 一类非驻定系统零解的稳定性 |
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| 引用本文： | 徐加义.一类非驻定系统零解的稳定性[J].山东大学学报(理学版),1991(3). |
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| 作者姓名： | 徐加义 |
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| 作者单位： | 山东大学数学系 |
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| 摘 要： | 本文研究了线性微分方程dx/dt=A(t)x及一般形式的非线性微分方程组dx/dt=A(t,x)x的零解在Lyapunov意义下的稳定性问题,并给出了零解稳定、渐近稳定和不稳定的判定准则.
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| 关 键 词： | 稳定性 Cauchy基本解矩阵 非驻定系统 |
STABILITY FOR THE ZERO SOLUTIONS OF A CLASS oF NONAUTONOMOUS SYSTEMS |
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| Xu Jiayi,Deparment of Mathematics,shadong University,Jinan.STABILITY FOR THE ZERO SOLUTIONS OF A CLASS oF NONAUTONOMOUS SYSTEMS[J].Journal of Shandong University,1991(3). |
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| Authors: | Xu Jiayi Deparment of Mathematics shadong University Jinan |
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| Abstract: | In this paper we disuss the stability of the zero solutions of the lincar systemdx/dt = A(t)xsnd the general nonlinear systemdx/dt = A(t,x)xAnd we give the discriminating theorcm for the stability, asymptotic stability and unstability of the zero solutions. |
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| Keywords: | stability cauchy general solution matrix noanautonomous system |
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