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ON THE BOUNDEDNESS AND THE STABILITY RESULTS FOR THE SOLUTION OF CERTAIN FOURTH ORDER DIFFERENTIAL EQUATIONS VIA THE INTRINSIC METHOD 被引量:1

ON THE BOUNDEDNESS AND THE STABILITY RESULTS FOR THE SOLUTION OF CERTAIN FOURTH ORDER DIFFERENTIAL EQUATIONS VIA THE INTRINSIC METHOD
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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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1996年第11期1039-1049,共11页 应用数学和力学(英文版)
关键词 nonlinear differential equations of the fourth order Lyapunovfunction STABILITY BOUNDEDNESS intrinsic method nonlinear differential equations of the fourth order, Lyapunovfunction , stability, boundedness, intrinsic method
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