Liao Zong-huang, Lu De-yuan. Instability of Solution for the Third Order Linear Differential Equation with Varied Coefficient[J]. Applied Mathematics and Mechanics, 1988, 9(10): 909-923.
Citation: Liao Zong-huang, Lu De-yuan. Instability of Solution for the Third Order Linear Differential Equation with Varied Coefficient[J]. Applied Mathematics and Mechanics, 1988, 9(10): 909-923.

Instability of Solution for the Third Order Linear Differential Equation with Varied Coefficient

  • Received Date: 1987-04-11
  • Publish Date: 1988-10-15
  • 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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  • [1]
    秦元勋、王联、王慕秋,缓变系数动力系统的译动稳定性,中国科学,专辑(I)(1979),242-253
    [2]
    秦元勋、王慕秋、王联,《运动稳定性理论与应用》,科学出版社(1981),
    [3]
    Курощ А.Г,《高等代数教程》,商务印书馆(1953).
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