Instability of Solution For the Fourth Order linear Differential Equation with Varied Coefficient

Lu De-yuan; Liao Zong-huang

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Lu De-yuan, Liao Zong-huang. Instability of Solution For the Fourth Order linear Differential Equation with Varied Coefficient[J]. Applied Mathematics and Mechanics, 1993, 14(5): 455-469.

Citation:

Lu De-yuan, Liao Zong-huang. Instability of Solution For the Fourth Order linear Differential Equation with Varied Coefficient[J]. Applied Mathematics and Mechanics, 1993, 14(5): 455-469.

Citation:

Lu De-yuan, Liao Zong-huang. Instability of Solution For the Fourth Order linear Differential Equation with Varied Coefficient[J]. Applied Mathematics and Mechanics, 1993, 14(5): 455-469.

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Instability of Solution For the Fourth Order linear Differential Equation with Varied Coefficient

Guizhou Normal University, Guiyang

Received Date: 1992-06-21
Publish Date: 1993-05-15

Abstract

Abstract

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.
- ordinary differential equation,
- motive stability theory,
- linear differential equation with varied coefficient

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References(3)

References

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[2]	Варбашин Е.А.,Фцнкчцц Ляnуноба,Мат.Гиз.,(1970).
[3]	秦元勋、王慕秋、王联,《运动稳定性理论与应用》,科学出版社(1981).