Project detail

Kvalitativní a numerická analýza spojitých a diskrétních dynamických systémů

Duration: 01.03.2020 — 28.02.2023

On the project

Výzkum plánujeme zaměřit na následující oblasti: - nalezení nových zpožděných maticových funkcí a jejich aplikace na řešitelnost úloh o řiditelnosti lineárních systémů diskrétních rovnic se zpětnou vazbou - nalezení nových reprezentací řešení zpožděných diskrétních systémů, popsat asymptotiku, oscilátoričnost a řiditelnosti s sytémů - nalezení nových numerických algoritmů založených na integrálních transformacích a semi-analytických metodách - využití topologických metod při popisu systémů

Mark

FEKT-S-20-6225

Default language

Czech

People responsible

Baštinec Jaromír, doc. RNDr., CSc. - fellow researcher
Diblík Josef, prof. RNDr., DrSc. - fellow researcher
Korobko Evgeniya - fellow researcher
Mencáková Kristýna, Mgr. - fellow researcher
Piskořová Zuzana, Ing. - fellow researcher
Svoboda Zdeněk, doc. RNDr., CSc. - fellow researcher
Vážanová Gabriela, Mgr. - fellow researcher
Vyroubalová Jana, Ing. - fellow researcher
Šmarda Zdeněk, doc. RNDr., CSc. - principal person responsible

Units

Department of Mathematics
- (2020-01-01 - 2022-12-31)
Faculty of Electrical Engineering and Communication
- (2020-01-01 - 2022-12-31)

Funding resources

Brno University of Technology - Vnitřní projekty VUT

- whole funder (2020-01-01 - 2022-12-31)

Results

DIBLÍK, J.; MENCÁKOVÁ, K. Representation of solutions to delayed linear discrete systems with constant coefficients and with second-order differences. APPLIED MATHEMATICS LETTERS, 2020, vol. 105, no. 106309, p. 1-7. ISSN: 0893-9659.
Detail

PISKOŘOVÁ, Z. TRACTOGRAPHY SENSITIVITY IMPROVEMENTS: COMMIT2 LINEAR OPERATOR PROPERTIES. In MITAV 2021. Brno: Univrsita obrany, 2021. p. 1-6. ISBN: 978-80-7582-380-9.
Detail

PISKOŘOVÁ, Z. Features of the linear operator in a process of computation of false positive detection in white matter tractography. Matematika, Informační technologie, aplikované vědy (MITAV 2020). 2020. p. 1-6. ISBN: 978-80-7582-307-6.
Detail

KOROBKO, E. ON SOLUTIONS OF A DISCRETE EQUATION OF EMDEN-FOWLER TYPE. Brno: Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních, 2020. p. 1-5.
Detail

KOROBKO, E.; DIBLÍK, J. Power asymptotics of solutions to the discrete Emden-Fowler type Equation. In Matematika, Informační technologie a aplikované vědy (MITAV 2020). Brno: 2020. p. 1-10. ISBN: 978-80-7582-307-6.
Detail

STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. Note on some representations of general solutions to homogeneous linear difference equations. Advances in Difference Equations, 2020, vol. 2020, no. 1, p. 1-13. ISSN: 1687-1847.
Detail

STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. Solvability of a class of hyperbolic-cosine-type difference equations. Advances in Difference Equations, 2020, vol. 2020, no. 564, p. 1-12. ISSN: 1687-1847.
Detail

BAŠTINEC, J.; DIBLÍK, J.; KOROBKO, E. Determination of initial data generating (b, c)-bounded solutions of a triangular differential system of equations. Mathematics, Information Technologies and Applied Sciences 2020, post-conference proceedings of extended versions of selected papers. Brno: UNOB Brno, 2020. p. 7-19. ISBN: 978-80-7582-366-3.
Detail

DIBLÍK, J.; KOROBKO, E. Solutions of perturbed second-order discrete Emden-Fowler type equation with power asymptotics of solutions. Mathematics, Information Technologies and Applied Sciences 2020, post-conference proceedings of extended versions of selected papers. Brno: UNOB Brno, 2020. p. 30-44. ISBN: 978-80-7582-366-3.
Detail

EL-SAYED, A.; IRIČANIN, B.; KOSMALA, W.; STEVIČ, S.; ŠMARDA, Z. Note on constructing a family of solvable sine-type difference equations. Advances in Difference Equations, 2021, vol. 2021, no. 1, p. 1-11. ISSN: 1687-1847.
Detail

STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. Note on a solution form to the cyclic bilinear system of difference equations. APPLIED MATHEMATICS LETTERS, 2021, vol. 111, no. 106690, p. 1-8. ISSN: 0893-9659.
Detail

BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Uniform exponential stability of linear delayed integro-differential vector equations. J.Differetial Equations, 2021, vol. 270, no. 5, p. 573-595. ISSN: 0022-0396.
Detail

STEVIČ, S.; EL-SAYED, A.; KOSMALA, W.; ŠMARDA, Z. Note on a difference equation and some of its relatives. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, vol. 44, no. 13, p. 10053-10061. ISSN: 0170-4214.
Detail

STEVIČ, S.; EL-SAYED, A.; KOSMALA, W.; ŠMARDA, Z. On a class of difference equations withinterlacing indices. Advances in Difference Equations, 2021, vol. 2021, no. 1, p. 1-16. ISSN: 1687-1847.
Detail

PISKOŘOVÁ, Z. Tracotgraphy sensitivity improvements: COMMIT2 linear operator properties. 2021.
Detail

KOROBKO, E. ASYMPTOTIC CHARACTERIZATION OF SOLUTIONS OF EMDEN-FOWLER TYPE DIFFERENCE EQUATION. Proceedings II of the 27th Conference STUDENT EEICT 2021. 1st Edition, Assoc. Prof. Vítězslav Novák. Brno: Brno University of Technology, Faculty of Electrical Engineering and Communication, 2021. p. 1-5. ISBN: 978-80-214-5943-4.
Detail

BAŠTINEC, J.; DIBLÍK, J.; PISKOŘOVÁ, Z. BEHAVIOR OF SOLUTIONS OF NONLINEAR TRIANGULAR SYSTEMS OF DISCRETE EQUATIONS. In MITAV 2021. Brno: Universita obrany, 2021. p. 1-12. ISBN: 978-80-7582-380-9.
Detail

DIBLÍK, J.; RODKINA, A.; ŠMARDA, Z. On local stability of stochastic delay nonlinear discrete systems with state-dependent noise. Applied Mathematics and Computation, 2020, vol. 374, no. 125019, p. 1-15. ISSN: 1873-5649.
Detail