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March 10, 2020 Baruch Schneider (University of Ostrava) On quantum variables Abstract: In this talk we present algebra of abstract vector and quantum variables. |
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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 |
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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. |