On some qualitative properties of monotone linear extensions of dynamical systems

被引：0
|
作者：
A. L. Grechko
机构：
[1] “Kyiv Polytechnic Institute” National Technical University,
来源：
Ukrainian Mathematical Journal | 2012年 / 63卷
关键词：
Vector Bundle; Invariant Manifold; Qualitative Property; Linear Extension; Exponential Dichotomy;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study monotone linear extensions of dynamical systems. The problem of the existence of invariant manifolds and exponential separation is investigated for linear extensions that preserve the order structure. We also study the relationship between the monotonicity of linear extensions and the existence (weak regularity, quasiregularity) of bounded solutions of inhomogeneous linear extensions.
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页码：1506 / 1516
页数：10
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