FOURTH_ORDER

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A class of singular perturbation solutions to semilinear equations of fourth order
《Applied Mathematics and Mechanics(English Edition)》2009年第11期1455-1460,共6页莫嘉琪 
supported by the National Natural Science Foundation of China (Nos.40676016 and 40876010);the Knowledge Innovation Program of Chinese Academy of Sciences (No.KZCX2-YW-Q03-08);the LASG State Key Laboratory Special Fund,and the E-Institute of Shanghai Municipal Education Commission (No.E03004)
A class of singularly perturbed boundary value problems for semilinear equations of fourth order with two parameters are considered. Under suitable conditions, using the method of lower and upper solutions, the existe...
关键词：NONLINEAR two parameters singular perturbation lower and upper solutions 
Mixed spectral method for exterior problems of Navier-Stokes equations by using generalized Laguerre functions
《Applied Mathematics and Mechanics(English Edition)》2009年第5期561-574,共14页焦裕建 郭本瑜 
supported by the National Natural Science Foundation of China (No.10871131);the Science and Technology Commission of Shanghai Municipality (No.075105118);the Shanghai Leading Academic Discipline Project (No.S30405);the Fund for E-institutes of Shanghai Universities(No.E03004)
In this paper, we investigate the mixed spectral method using generalized Laguerre functions for exterior problems of fourth order partial differential equations. A mixed spectral scheme is provided for the stream fun...
关键词：spectral method exterior problems of fourth order Navier-Stokes equations 
ON STABILITY OF SOLUTIONS OF CERTAIN FOURTH-ORDER DELAY DIFFERENTIAL EQUATIONS被引量：5
《Applied Mathematics and Mechanics(English Edition)》2006年第8期1141-1148,共8页Cemil Tunc 
By the use of the Liapunov functional approach, a new result is obtained to ascertain the asymptotic stability of zero solution of a certain fourth-order non-linear differential equation with delay. The established re...
关键词：non-linear delay differential equations of fourth order STABILITY Liapunov functional approach 
BOUNDEDNESS AND UNIFORM BOUNDEDNESS RESULTS FOR CERTAIN NON-AUTONOMOUS DIFFERENTIAL EQUATIONS OF FOURTH ORDER
《Applied Mathematics and Mechanics(English Edition)》2001年第11期1273-1278,共6页Cemil Tunc(西密尔·通兹) 
Sufficient conditions have been obtained so that all solutions of a different fourth order differential equation are bounded and uniformly bounded.
关键词：differential equation of fourth order Liapunov function BOUNDEDNESS uniform boundedness 
ON　THE　BOUNDEDNESS　AND　THE　STABILITY　RESULTS　FOR　THE　SOLUTION　OF　CERTAIN　FOURTH　ORDER　DIFFERENTIAL　EQUATIONS　VIA　THE　INTRINSIC　METHOD被引量：1
《Applied Mathematics and Mechanics(English Edition)》1996年第11期1039-1049,共11页Cemil TUNC  Aydin TIRYAKI 
In this paper, we first present constructing a Lyapunov function for (1. 1) and then we show the asymptotic stability in the large of the trivial solution x=0 for case p≡ 0,and the boundedness result of the sol...
关键词：nonlinear differential equations of the fourth order Lyapunovfunction STABILITY BOUNDEDNESS intrinsic method 
A STUDY OF THE CONSTRUCTION OF LYAPUNOV FUNCTION FOR A CLASS OF FOURTH ORDER NONLINEAR SYSTEMS被引量：1
《Applied Mathematics and Mechanics(English Edition)》1995年第2期195-202,共8页梁在中 
In the paper Lyapunov function for a fourth order linear system is given and stability of the trivial solutions to a class of.fourth order nonlinear systems is studied
关键词：nonlinear. stability. Lyapunov function 
INSTABILITY OF SOLUTION FOR THE FOURTH ORDER LINEAR DIFFERENTIAL EQUATION WITH VARIED COEFFICIENT
《Applied Mathematics and Mechanics(English Edition)》1993年第5期481-497,共17页卢德渊 廖宗璜 
Provincial Science and Technology Foundation of Guizhou
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,...
关键词：ordinary differential equation motive stability theory linear differential equation with varied coefficient 
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