ON　THE　BOUNDEDNESS　AND　THE　STABILITY　RESULTS　FOR　THE　SOLUTION　OF　CERTAIN　FOURTH　ORDER　DIFFERENTIAL　EQUATIONS　VIA　THE　INTRINSIC　METHOD  

作　　者：Cemil TUNC  Aydin TIRYAKI 

出　　处：《Applied Mathematics and Mechanics(English Edition)》1996年第11期1039-1049,共11页应用数学和力学（英文版）

摘　　要：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 solutions of (1 .1 ) for case p≠0. These results improve sveral well-known results.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 solutions of (1 .1 ) for case p≠0. These results improve sveral well-known results.

关 键 词：nonlinear differential equations of the fourth order Lyapunovfunction STABILITY BOUNDEDNESS intrinsic method 

分 类 号：O175[理学—数学]