INSTABILITY OF SOLUTION FOR A CLASS OF THE THIRDORDER NONLINEAR DIFFERENTIAL EQUATION

Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (12): 1185-1200.

INSTABILITY OF SOLUTION FOR A CLASS OF THE THIRDORDER NONLINEAR DIFFERENTIAL EQUATION

卢德渊

Depatment of Mathematies Guizhou Normal Unversity, Guiyang 550000, P.R.China

收稿日期:1994-11-10 出版日期:1995-12-18 发布日期:1995-12-18
通讯作者: Zhang Shisheng
基金资助:
Project supported by Provineral Science and Technology Foundation by Guizhou China

INSTABILITY OF SOLUTION FOR A CLASS OF THE THIRDORDER NONLINEAR DIFFERENTIAL EQUATION

Lu Deyuan

Depatment of Mathematies Guizhou Normal Unversity, Guiyang 550000, P.R.China

Received:1994-11-10 Online:1995-12-18 Published:1995-12-18
Supported by:
Project supported by Provineral Science and Technology Foundation by Guizhou China

摘要/Abstract

摘要： In Ref [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].

关键词: ordinary difterential, cquation motive stability theory, nonlinear differential equation

Abstract: In Ref [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].

Key words: ordinary difterential, cquation motive stability theory, nonlinear differential equation

卢德渊. INSTABILITY OF SOLUTION FOR A CLASS OF THE THIRDORDER NONLINEAR DIFFERENTIAL EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(12): 1185-1200.

Lu Deyuan. INSTABILITY OF SOLUTION FOR A CLASS OF THE THIRDORDER NONLINEAR DIFFERENTIAL EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(12): 1185-1200.

[1]	谢腊兵;江福汝. COMPUTER COMPUTATION OF THE METHOD OF MULTIPLE SCALES-DIRICHLET PROBLEM FOR A CLASS OF SYSTEM OF NONLINEAR DIFFERENTIAL EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(11): 1264-1272.
[2]	彭奇林. QUALITATIVE ANALYSIS FOR A CLASS OF SECOND-ORDER NONLINEAR SYSTEM WITH DELAY[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(7): 842-845.
[3]	江福汝. ON THE ASYMPTOTIC SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR A CLASS OF SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS (Ⅰ)[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(3): 282-293.
[4]	张鸿庆;闫振亚. TWO TYPES OF NEW ALGORITHMS FOR FINDING EXPLICIT ANALYTICAL SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(12): 1423-1431.
[5]	Cemil Tun?. ON THE UNIFORM BOUNDEDNESS OF SOLUTIONS OF SOME NON-AUTONOMOUS DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(6): 622-628.
[6]	Cemil TUNC;Aydin TIRYAKI. ON THE BOUNDEDNESS AND THE STABILITY RESULTS FOR THE SOLUTION OF CERTAIN FOURTH ORDER DIFFERENTIAL EQUATIONS VIA THE INTRINSIC METHOD[J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(11): 1039-1049.
[7]	俞元洪;陈文灯. ON THE BOUNDEDNESS AND THE STABILITY PROPERTIES OF SOLUTION OF CERTAIN FOURTH ORDER DIFFERENTIAL EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(9): 881-887.

INSTABILITY OF SOLUTION FOR A CLASS OF THE THIRDORDER NONLINEAR DIFFERENTIAL EQUATION

INSTABILITY OF SOLUTION FOR A CLASS OF THE THIRDORDER NONLINEAR DIFFERENTIAL EQUATION

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