Areas of attraction for nonautonomous differential equations on finite time intervals
Areas of attraction for nonautonomous differential equations on finite time intervals
复制标题
有限时间间隔上非自治微分方程的吸引力区域
DOI：
10.1016/j.jmaa.2011.12.051
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发表时间：
2012
影响因子：
1.3
通讯作者：
M. Rasmussen
中科院分区：
文献类型：
--
作者：
P. Giesl;M. Rasmussen
本文引入有限时间区间上非自治微分方程的指数吸引性的新概念。由于有限时间对象的非唯一性，研究的是有吸引力的区域，而不是有吸引力的解。利用时变黎曼度量，给出了这类区域存在的充要条件。几个例子说明了理论结果和定义。
In this article, new concepts of (exponential) attractivity for nonautonomous differential equations on a finite time interval are introduced. Due to nonuniqueness of finite-time objects, areas of attraction are studied rather than solutions which are attractive. A sufficient and necessary condition for the existence of such areas is presented, which makes use of a time-varying Riemannian metric. Several examples illustrate the theoretical results and definitions.