Four theorems and one conjecture on the global asymptotic stability of delay differential equations
Four theorems and one conjecture on the global asymptotic stability of delay differential equations
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DOI：
10.1142/9789812702906_0010
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发表时间：
2004-06
期刊：
影响因子：
--
通讯作者：
Eduardo Liz
中科院分区：
文献类型：
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作者：
Eduardo Liz
本文的目的是总结一组数学家(包括作者)在过去四年中对一类具有唯一平衡点的标量时滞微分方程解的全局渐近稳定性的研究成果。我们得到了尖锐的条件，这些条件推广和统一了本主题中的许多现有条件。最后，我们提出了一个猜想，该猜想也推广了其他经典猜想。
The aim of this notes is to bring together the results fruit of the labor of a group of mathematicians (including the author) during the last four years on the global asymptotic stability of a family of scalar delay differential equations with a unique equilibrium. We have obtained sharp conditions which generalize and unify many existing ones in the topic. Finally, we formulate one conjecture that also generalizes other classical ones.