Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Bátkai, András"'
Autor:
Bátkai, András, Gessner, Ingrid
Stereotype Vorstellungen von Mathematik und Mathematiker*innen beeinflussen das Interesse von Jugendlichen an MINT-F\"achern. Daher pl\"adiert dieser Beitrag daf\"ur, popul\"are Filme und erfolgreiche Serien nicht nur im Fremdsprachenunterricht, sond
Externí odkaz:
http://arxiv.org/abs/2402.11643
Autor:
Bátkai, András
Mathematical modelling and ethics have more touching points than most of us would like to admit. Everyday decisions are often reasoned by mathematical arguments. Mathematics teachers belong to those mathematically literate, who must point out mistake
Externí odkaz:
http://arxiv.org/abs/2304.03835
A large system of ordinary differential equations is approximated by a parabolic partial differential equation with dynamic boundary condition and a different one with Robin boundary condition. Using the theory of differential operators with Wentzell
Externí odkaz:
http://arxiv.org/abs/1303.6235
Autor:
Bátkai, András
Publikováno v:
Int. Eq. Operator Theory 44 (2002), 383-396
Robust hyperbolicity and stability results for linear partial differential equations with delay will be given and, as an application, the effect of small delays to the asymptotic properties of feedback systems will be analyzed.
Externí odkaz:
http://arxiv.org/abs/1303.2731
Autor:
Bátkai, András, Piazzera, Susanna
We prove the equivalence of the well-posedness of a partial differential equation with delay and an associated abstract Cauchy problem. This is used to derive sufficient conditions for well-posedness, exponential stability and norm continuity of the
Externí odkaz:
http://arxiv.org/abs/1211.7197
We present easy to verify conditions implying stability estimates for operator matrix splittings which ensure convergence of the associated Trotter, Strang and weighted product formulas. The results are applied to inhomogeneous abstract Cauchy proble
Externí odkaz:
http://arxiv.org/abs/1207.1118
We provide a general product formula for the solution of nonautonomous abstract delay equations. After having shown the convergence we obtain estimates on the order of convergence for differentiable history functions. Finally, the theoretical results
Externí odkaz:
http://arxiv.org/abs/1202.4389
Autor:
Bátkai, András, Bobrowski, Adam
Motivated by positivity-, monotonicity-, and convexity preserving differential equations, we introduce a definition of shape preserving operator semigroups and analyze their fundamental properties. In particular, we prove that the class of shape pres
Externí odkaz:
http://arxiv.org/abs/1107.5075
Differential equation approximations of stochastic network processes: an operator semigroup approach
The rigorous linking of exact stochastic models to mean-field approximations is studied. Starting from the differential equation point of view the stochastic model is identified by its Kolmogorov equations, which is a system of linear ODEs that depen
Externí odkaz:
http://arxiv.org/abs/1107.2814