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math.DS2023
The new notion of Bohl dichotomy for nonautonomous difference equations and its relation to exponential dichotomy
Adam Czornik, Konrad Kitzing, Stefan Siegmund
Bohl dichotomy is a notion of hyperbolicity for linear nonautonomous difference equations that is weaker than the classical concept of exponential dichotomy. In the class of system…
math.DS2023
Spectra based on Bohl exponents and Bohl dichotomy for nonautonomous difference equations
Adam Czornik, Konrad Kitzing, Stefan Siegmund
For nonautonomous linear difference equations with bounded coefficients on which have a bounded inverse, we introduce two different notions of spectra and discuss thei…