Ostrava Mathematical Seminar

Past talks (2020)
66.
March 10, 2020
Baruch Schneider (University of Ostrava)
On quantum variables
Abstract:
In this talk we present algebra of abstract vector and quantum variables.
67.
June 25, 2020
Ly Hong Hai (University of Ostrava)
Spectral convergence of Neumann Laplacian on non-compact quasi-one-dimensional spaces and some geometric domains
Abstract   Slides
68.
July 21, 2020  
Tri Truong (University of Ostrava)
On a general definition of the Hukuhara derivatives and some related problems
Abstract:
(Joint work with Baruch Schneider and Linh Nguyen). The analysis on the time scales is a fairly new area of research. It was introduced in 1988 by Stefan Hilger and his Ph.D. supervisor Bernd Aulbach [1,2]. In this talk, we consider some basic concepts and fundamental properties of time scale calculus and quantum calculus. We propose a new approach being based on the use of the generalized Hukuhara derivatives. We indicate how these ideas extend to the interval-valued functions on the time scale. Some important properties of generalized delta-Hukuhara partial derivative are also discussed. Furthermore, its applications and some relating problems are mentioned.
References:
[1] B. Aulbach and S. Hilger, A unified approach to continuous and discrete dynamics, Qualitative Theory of Differential Equations (Szeged, 1988), Colloq. Math. Soc. János Bolyai 53 (1990), 37-56.
[2] S. Hilger, Analysis on measure chains - a unified approach to continuous and discrete calculus, Results Math. 18 (1990), no. 1-2, 18-56.

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Created: Sat Mar 12 2020
Last modified: Sun Nov 20 11:26:31 CET 2022