Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations

Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
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DOI:
10.1007/bf00173267
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发表时间:
1992-07
影响因子:
1.9
通讯作者:
H. Thieme
H. Thieme
中科院分区:
数学4区
文献类型:
--
作者:
H. Thieme

文献摘要

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给出了渐近自治微分方程的解与相应的极限方程的解具有相同渐近性态的条件。一个例子表明,这并不普遍。
Conditions are presented under which the solutions of asymptotically autonomous differential equations have the same asymptotic behavior as the solutions of the associated limit equations. An example displays that this does not hold in general.