巴拿赫空间上发展算子的非一致多项式三分性

On nonuniform polynomial trichotomy of evolution operators in Banach space

讨论了巴拿赫空间上发展算子的非一致多项式三分性的积分特征,说明了一致多项式三分性与非一致多项式三分性的关系,并且给出了满足非一致多项式三分性而不满足一致多项式三分性的一个反例。

The integral properties of nonuniform polynomial trichotomy of evolution operators are discussed in Banach space, and an example is illustrated the relationship between the two polynomial trichotomies which shows the evolution operator is nonuniform polynomial trichotomy but not uniform polynomial trichotomy.