Generalizations of analogs of theorems of Maizel and Pliss and their application in Shadowing Theory

Details Generalizations of analogs of theorems of Maizel and Pliss and their application in Shadowing Theory Generalizations of analogs of theorems of Maizel and Pliss and their application in Shadowing Theory

2012-02-20

arxiv.org/abs/1202.4338v1

Mathematics

Dynamical Systems

19 pages

Scientific paper

We generalize two classical results of Maizel and Pliss that describe relations between hyperbolicity properties of linear system of difference equations and its ability to have a bounded solution for every bounded inhomogeneity. We also apply one of this generalizations in shadowing theory of diffeomorphisms to prove that some sort of limit shadowing is equivalent to structural stability.

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