一类三阶非线性微分方程解的不稳定性*
Instability of Solution for a Class of the Third Order Nonlinear Differential Equation
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摘要: 文献[1]讨论了非线性缓变系统的渐近稳定性,文献[2]讨论了三阶变系数线性微分方程解的不稳定性。本文应用文献[1]、[2]的方法讨论一类三阶非线性微分方程解的不稳定性。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].
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[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). -
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