Equivalent Definitions for Uniform Exponential Trichotomy of Evolution Operators in Banach Spaces

Details Equivalent Definitions for Uniform Exponential Trichotomy of Evolution Operators in Banach Spaces Equivalent Definitions for Uniform Exponential Trichotomy of Evolution Operators in Banach Spaces

2008-06-09

arxiv.org/abs/0806.1408v1

Proceedings of the 21th Conference on Operator Theory Theta Foundation (2008) Distributed by AMS

Mathematics

Classical Analysis and ODEs

Scientific paper

The aim of this paper is to give necessary and sufficient conditions for the
uniform exponential trichotomy property of nonlinear evolution operators in
Banach spaces. The obtained results are generalizations for
infinite-dimensional case of some well-known results of Elaydi and Hajek on
exponential trichotomy of differential systems.

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