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

作　　者：卢德渊[1] 

机构地区：[1]贵州师范大学数学系

出　　处：《应用数学和力学》1995年第12期1101-1114,共14页Applied Mathematics and Mechanics

基　　金：贵州省科学技术基金

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。In reference [1] the asymptotic stability of nonlinear slowly changing system has been discussed.In reference [2] the instability of solution for the third order linear differential equation with varied coefficient has been discussed.In this paper,we have discussed instability of solution for a class of the third order nonlinear differential equation by means of the method of references [1] and[2].

关 键 词：常微分方程 运动稳定性 非线性 解 稳定性 

分 类 号：O175.14[理学—数学]