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带时滞复金兹堡-朗道方程常数平衡解的渐近性态

, PP. 14-20

Keywords: 复金兹堡-朗道方程,延迟,稳定性,渐近性态

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Abstract:

讨论了具有时滞的复金兹堡-朗道方程的渐进性态.当参数满足一定的条件时,得到了复金兹堡-朗道方程具有第一边界条件时零解的线性和非线性稳定性及不稳定性;当参数和时滞满足一定的条件时,得到了复金兹堡-朗道方程具有第二边界条件时常数平衡解的线性化方程的渐进性态.

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