巴拿赫空间上斜发展半流的点态三分性
Pointwise Trichotomy for Skew-Evolution Semiflows on Banach Spaces
摘要：
本文引入了斜发展半流的概念，并在巴拿赫空间上给出了斜发展半流情形下的点态可剖分的概念。我们在2006年的一篇论文中提出的演化算子的经典概念的分割的连接，也强调，以及一些特征。该理论的方法是从统一的观点出发。研究也可以扩展到系统的控制，其状态演化可以描述的斜演化半流。
英文摘要：
The paper introduces the notion of skew-evolution semiflows and presents the concept of pointwise trichotomy in the case of skew-evolution semiflows on a Banach space. The connection with the classic notion of trichotomy presented by us in a previous paper in 2006 for evolution operators, is also emphasized, as well as some characterizations. The approach of the theory is from uniform point of view. The study can also be extended to systems with control whose state evolution can be described by skew-evolution semiflows.
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