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关于四阶变系数线性微分方程解的不稳定性 被引量:1
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作者 卢德渊 《应用数学和力学》 EI CSCD 北大核心 1993年第5期455-469,共15页
本文利用李雅普诺夫第二方法给出了至少有一个特征根具有正实部的四阶变系数线性微分方程解的不稳定性的充分条件.
关键词 变系数 线性 微分方程 稳定性
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Stability of Solution of the Third Order Linear Differential Equation with Periodic Coefficients
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作者 卢德渊 《Chinese Quarterly Journal of Mathematics》 CSCD 1989年第4期24-31,共8页
In this paper, We give the sufficient conditions of the unstability of zero solution for the third order linear differential equation with periodic coefficients d^3x/dt^3+A(t)dx/dt+B(t)x=0.
关键词 线性微分方程 周期系数 解的稳定性 零解 特征方程 全纯 王慕秋 基本解组 LIOUVILLE 共扼
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INSTABILITY OF SOLUTION FOR THE FOURTH ORDER LINEAR DIFFERENTIAL EQUATION WITH VARIED COEFFICIENT
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作者 卢德渊 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1993年第5期481-497,共17页
In this paper, we give some sufficient conditions of the instability for the fourth order linear differential equation with varied coefficient, at least one of the characteristic roots of which has positive real part,... In this paper, we give some sufficient conditions of the instability for the fourth order linear differential equation with varied coefficient, at least one of the characteristic roots of which has positive real part, by means of Liapunov's second method. 展开更多
关键词 ordinary differential equation motive stability theory linear differential equation with varied coefficient
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