Structural stability of linear difference equations in Hilbert space

Authors: Bernd Aulbach, Nguyễn Văn Minh, Petr Petrovich Zabreĭko,

https://doi.org/10.1016/S0898-1221(98)80010-2

Publisher, magazine: ,

Publication year: 1998

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Abstract

In this note, we prove that linear difference equations in Hilbert space are structurally stable if and only if they have an exponential dichotomy.

Tags: Structural stability, Linear difference equations, Exponential dichotomy