3 citations · 4 across the 6 of their papers we have counts for
6 papers
Dichotomies uniform on subspaces and formulas for dichotomy spectra
Adam Czornik, Konrad Kitzing, Stefan Siegmund
In this note we introduce a notion of dichotomy which generalizes the classical concept of exponential dichotomy and the recent notion of Bohl dichotomy. A key attribute is the dis…
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…
Lyapunov spectra behavior for linear discrete-time systems under small perturbations
Adam Czornik, Evgenii Makarov, Michal Niezabitowski +2
We investigate the behavior of the Lyapunov spectrum of a linear discrete-time system under the action of small perturbations in order to obtain some verifiable conditions for stab…
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…
Global attractivity for some classes of Riemann--Liouville fractional differential systems
H. T. Tuan, Adam Czornik, J. Nieto +1
In this paper, we present some results for existence of global solutions and attractivity for mulidimensional fractional differential equations involving Riemann-Liouville derivati…