Admissibility and exponential trichotomy of dynamical systems described by skew-product flows

摘要: Abstract The aim of this paper is to present a new and very general method for the detection uniform exponential trichotomy dynamical systems. investigation done in several constructive stages that correspond three admissibility properties are progressively introduced with respect an associated input–output system. We prove pair ( C b R , X ) L 1 system sufficient condition existence trichotomic behavior initial If p ∈ ∞ uniformly p-admissible then we obtain trichotomy. Next, study whether conditions also necessary Supposing has unique bounded solutions certain subspaces. Finally p-admissibility