一类四阶非线性微分方程的全局渐近稳定 |
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引用本文: | 苏醒. 一类四阶非线性微分方程的全局渐近稳定[J]. 怀化学院学报, 1984, 0(1) |
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作者姓名: | 苏醒 |
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摘 要: | 本文在文[1] X+、[2]的基础上,就形如 ●…·· ●● ●(p(X,X,X)X+a 2 X+a3 X+a4X=0,…· ● ●● ●·● ●● ●X+叩(X,X)X+a 2 X+a 3 X+a4x=0,X+中(x)X+a2●● ●X+a 3 x+a4X=0,… ●●● ●● ●x十叩(X)+a 2 X十a 3 X+a4x=0,… ●● ● … ●● ●X+印(x,X,x,x)+a 2 X+a 3 x+a4x=0·类四阶自治方程,给出其零解为全局渐近稳定的条件。术节研究方程… ● ●●… I. ●x+午(x,X,X)X+a 2 X+a3 x+a4x=0(1)…· ● …·● ‘● ●x+叩(x,x)、x+a 2 x十a3 x+a‘x=0 x+叩(x)X+a 2 x+a3 x+a 4x;0 …· ●●● ●● ● X+叩(X)+a 2…
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ON GLOBAL ASYMPTOTIC STABILITY OF THE TYPE OF NON-LINEAR DIFFERE TAIL EQUATIONS OF FOURTH ORDER |
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Abstract: | In this paper, we consider the type of non-linear autonomous differetail equations:and gives some sufficiens conditions assuring the global asymetotic of the trivial solutions. |
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