7 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…
Maxwell's equations revisited -- mental imagery and mathematical symbols
Matthias Geyer, Jan Hausmann, Konrad Kitzing +2
Using Maxwell's mental imagery of a tube of fluid motion of an imaginary fluid, we derive his equations ,…
A Hilbert space approach to fractional differential equations
Kai Diethelm, Konrad Kitzing, Rainer Picard +3
We study fractional differential equations of Riemann-Liouville and Caputo type in Hilbert spaces. Using exponentially weighted spaces of functions defined on , we defi…
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…