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Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (10): 969-984.

• 论文 • 上一篇    下一篇

INSTABILITY OF SOLUTION FOR THE THIRD ORDER LINEAR DIFFEBENTIAL EQUATION WITH VARIED COEFFICIENT

廖宗璜, 卢德渊   

  1. Guizhou Normal University, Guiyang
  • 收稿日期:1987-04-11 出版日期:1988-10-18 发布日期:1988-10-18

INSTABILITY OF SOLUTION FOR THE THIRD ORDER LINEAR DIFFEBENTIAL EQUATION WITH VARIED COEFFICIENT

Liao Zong-huang, Lu De-yuan   

  1. Guizhou Normal University, Guiyang
  • Received:1987-04-11 Online:1988-10-18 Published:1988-10-18

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摘要： In reference [1] asymptotic stability of dynamic system with slowly changing coefficients for all characteristic roots which have negative real part has been proved by means of Liapunov’s second method. In this paper, we give some sufficient conditions of the instability for the third 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.

Abstract: In reference [1] asymptotic stability of dynamic system with slowly changing coefficients for all characteristic roots which have negative real part has been proved by means of Liapunov’s second method. In this paper, we give some sufficient conditions of the instability for the third 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.

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