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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- internal (2023-01-01 - 2025-12-31)Faculty of Electrical Engineering and Communication- beneficiary (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. In Proceedings II of the Conference STUDENT EEICT 2024. Proceedings II of the Conference STUDENT EEICT. Brno: Brno University of Technology, Faculty of Electrical Engineering, 2024. p. 343-347. ISBN: 978-80-214-6231-1. ISSN: 2788-1334.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