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Project detail
Duration: 01.03.2023 — 28.02.2026
Funding resources
Brno University of Technology - Vnitřní projekty VUT
- whole funder (2023-01-01 - 2024-12-31)
On the project
Výzkum plánujeme zaměřit na následující oblasti: - diskretizační algoritmy lineárních i nelineárních funkcionálních rovnic, asymptotická analýza jejich řešení - studium diskrétních systémů Emden-Fowlerova typu , aplikace pomocí metody tzv. retraktu, identifikace a řiditelnost systému na konečném intervalu - návrhy numerických algoritmů pro frakcionální systémy zpožděného typu, konvergenční analýza
Mark
FEKT-S-23-8179
Default language
Czech
People responsible
Baštinec Jaromír, doc. RNDr., CSc. - fellow researcherDiblík Josef, prof. RNDr., DrSc. - fellow researcherFusek Michal, Ing., Ph.D. - fellow researcherGavorová Zuzana, Ing. - fellow researcherHartmanová Marie, Mgr. - fellow researcherKorobko Evgeniya, Ph.D. - fellow researcherŠmarda Zdeněk, doc. RNDr., CSc. - principal person responsible
Units
Department of Mathematics- (2023-01-01 - 2025-12-31)Faculty of Electrical Engineering and Communication- (2023-01-01 - 2025-12-31)
Results
DIBLÍK, J.; KOROBKO, E. Asymptotic behavior of solutions of a second-order nonlinear discrete equation of Emden-Fowler type. Advances in Nonlinear Analysis, 2023, vol. 12, no. 1, p. 1-23. ISSN: 2191-950X.Detail
DIBLÍK, J.; GALEWSKI, M.; RADULESCU, V.; ŠMARDA, Z. Multiplicity of solutions for nonlinear coercive problems. Journal of Mathematical Analysis and Application, 2023, vol. 528, no. 1, p. 1-13. ISSN: 0022-247X.Detail
BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Exponential stability criteria for linear neutral systems with applications to neural networks of neutral type. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, vol. 360, no. 1, p. 301-326. ISSN: 0016-0032.Detail
GIRARD, G.; RAFAEL-PATINO, J.; TRUFFET, R.; AYDOGAN,D.B.; ADLURUH, N. et al. Tractography passes the test: Results from the diffusion-simulated connectivity (disco) challenge. NeuroImage, 2023, vol. 277, no. Červen 2023, p. 1-11. ISSN: 1095-9572.Detail
KHUSAINOV, D.; SHATYRKO, A.; OLEKSII, B.; DIBLÍK, J. Structural-Schematic Approach in the Modelling of Dynamic Systems. In 10th International Scientific Conference "Information Technology and Implementation". CEUR Workshop Proceedings. CEUR-WS, 2023. p. 471-479. ISSN: 1613-0073.Detail
NOVÁK, V. Proceedings I of the 29th Conference STUDENT EEICT 2023 General papers. Proceedings I of the 29th Conference STUDENT EEICT 2023 General papers. 1. Brno: Brno University of Technology, Faculty of Electrical Engineering and Communication, 2023. ISBN: 978-80-214-6153-6.Detail
STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. On solvability of a two-dimensional symmetric nonlinear system of difference equations. Journal of Inequalities and Applications, 2024, vol. 2024, no. 108, ISSN: 1029-242X.Detail
DIBLÍK, J. Novel criterion for the existence of solutions with positive coordinates to a system of linear delayed differential equations with multiple delays. APPLIED MATHEMATICS LETTERS, 2024, vol. 152, no. June 2024, p. 1-5. ISSN: 1873-5452.Detail
NOVÁK, V. Proceedings I of the 30th Conference STUDENT EEICT 2024. Proceedings I of the 30th Conference STUDENT EEICT 2024. 1. Brno: Brno University of Technology, Faculty of Electrical Engineering and Communication, 2024. ISBN: 978-80-214-6231-1.Detail
DIBLÍK, J.; HARTMANOVÁ, M. Non-delayed Linear Planar Discrete Systems with Constant Coefficients Equivalent to Linear Planar Discrete Delayed Systems with Constant Coefficients. Matematika, informační technologie a aplikované vědy, MITAV 2024. Brno: Univerzita Obrany, 2024. p. 1-9. ISBN: 978-80-7582-493-6.Detail
HARTMANOVÁ, M.; DIBLÍK, J. General Solutions to Linear Discrete Two-dimensional Systems with Constant Coefficients - the Case of both Eigenvalues of the Matrix of Nondelayed Terms being Zeros with the Conditions Characterizing Weakly Delayed Systems Satisfied. Brno: Univerzita Obrany, 2024. p. 1-8. ISBN: 978-80-7582-493-6.Detail
HARTMANOVÁ, M.; DIBLÍK, J. General Solution of a Planar Linear Discrete System with a Weak Single Delay in the Case of Single Zero Eigenvalue of the Matrix of Nondelayed Terms. Proceedings I of the 30 th Conference STUDENT EEICT 2024. Brno: Brno University of Technology, Faculty of Electrical Engineering, 2024. p. 343-347. ISBN: 978-80-214-6231-1.Detail
KHUSAINOV, D.; DIBLÍK, J.; SHATYRKO, A.; HAHURIN, Z. Optimal Stabilization in Systems of Linear Differential Equations. Journal of Optimization, Differential Equations and Their Applications, 2024, vol. 32, no. 1, p. 84-96. ISSN: 2617-0108.Detail
DIBLÍK, J.; RŮŽIČKOVÁ, M. Vanishing and blow-up solutions to a class of nonlinear complex differential equations near the singular point. Advances in Nonlinear Analysis, 2024, vol. 13, no. 1, p. 1-44. ISSN: 2191-9496.Detail