49 citations · 137 across the 28 of their papers we have counts for
19 papers · 1 filter
A Hartman-Grobman theorem on Banach bundles
Benjamin Rogoll, Stefan Siegmund
We provide generalized linearization theorems for skew-product flows on abstract Banach bundles over locally compact metric spaces, allowing for a unified treatment of uniform and…
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…
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…
Asynchronous discrete dynamical systems
Stefan Siegmund, Petr Stehlik
We study two coupled discrete-time equations with different (asynchronous) periodic time scales. The coupling is of the type sample and hold, i.e., the state of each equation is sa…
A Hilbert space approach to fractional difference equations
Pham The Anh, Artur Babiarz, Adam Czornik +5
We formulate fractional difference equations of Riemann-Liouville and Caputo type in a functional analytical framework. Main results are existence of solutions on Hilbert space-val…
A Hilbert space approach to difference equations
Konrad Kitzing, Rainer Picard, Stefan Siegmund +2
We consider general difference equations for on exponentially weighted spaces of two-sided Hilbert space valued sequences and dis…