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ON THE BOUNDEDNESS AND THE STABILITY PROPERTIES OF SOLUTION OF CERTAIN FOURTH ORDER DIFFERENTIAL EQUATIONS
作者姓名:俞元洪  陈文灯
作者单位:Yu Yuan-hong (Institute of Applied Mathematics,Academia Sinica,Beijing) Cheng Wen-deng (Beijing Institute of Technology,Beijing)
摘    要:This paper investigates equation(1)in two cases:(i)P≡0,(ii)P(≠O)satisfies|P(t,x,y,z,ω)|≤(A |y| |z| |ω|)q(t),where q(t)is a nonnegative function of t.For case(i)the asymptotic stability in the large of the trivial solution x=0 is investigatedand for case(ii)the boundedness result is obtained for solutions of equation(1).Theseresults improve and include several well-known results.

收稿时间:23 March 1988

On the boundedness and the stability properties of solution of certain fourth order differential equations
Yu Yuan-hong,Cheng Wen-deng.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.
Authors:Yu Yuan-hong  Cheng Wen-deng
Institution:(1) Institute of Applied Mathematics, Academia Sinica, Beijing;(2) Beijing Institute of Technology, Beijing
Abstract:This paper investigates equation (1) in twocases:(i)P=0, (ii)P satisfies|P (i,x,y,z,w)<(A |y| |z| |w|)q(t).whereq(t) is a nonnegative function of t. For case (i) the asymptotic stability in the large of the trivial solution x=0 is investigated and for case (ii) the boundedness result is obtained for solutions of equation (1). These results improve and include several well-known results.
Keywords:nonlinear differential equations of the four order  boundedness  stability
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