Instability of Solution for a Class of the Third Order Nonlinear Differential Equation

Lu Deyuan

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Lu Deyuan. Instability of Solution for a Class of the Third Order Nonlinear Differential Equation[J]. Applied Mathematics and Mechanics, 1995, 16(12): 1101-1114.

Citation:

Lu Deyuan. Instability of Solution for a Class of the Third Order Nonlinear Differential Equation[J]. Applied Mathematics and Mechanics, 1995, 16(12): 1101-1114.

Citation:

Lu Deyuan. Instability of Solution for a Class of the Third Order Nonlinear Differential Equation[J]. Applied Mathematics and Mechanics, 1995, 16(12): 1101-1114.

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Instability of Solution for a Class of the Third Order Nonlinear Differential Equation

Lu Deyuan

Department of Mathematics, Guizhou Normal University, Guiyang 55000, P. R. China

Received Date: 1994-11-10
Publish Date: 1995-12-15

Abstract

Abstract

In refercnce [1] the asymptotic stability of nonlinear slowly changing system has been discussed.In Ref [2] the instability of solution for the order linear differential equaiton with varied coefficient has been discussed.In this paper,we have discussed instability of solution for a class of the third order nonlinear diffeential equation by means of the metod of Refs [1] and [2].
- ordinary difterential,
- cquation motive stability theory,
- nonlinear differential equation

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References(3)

References

[1]	秦元勋、王慕秋、王联,《运动稳定性理论与应用》.科学出版社(1981).
[2]	廖宗磺、卢德渊.关于三阶变系数线性微分方程解的不稳定性.应用数学和力学,9(10)(1988),909-923.
[3]	许淞庆,《常微分方程稳定性理论》,上海科学技术出版社(1962).