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

FEKT-S-23-8179

Czech

Šmarda Zdeněk, doc. RNDr., CSc. - principal person responsible
Baštinec Jaromír, doc. RNDr., CSc. - fellow researcher
Diblík Josef, prof. RNDr., DrSc. - fellow researcher
Fusek Michal, Ing., Ph.D. - fellow researcher
Gavorová Zuzana, Ing. - fellow researcher
Hartmanová Marie, Mgr. - fellow researcher
Korobko Evgeniya, Ph.D. - fellow researcher

Department of Mathematics
- responsible department (22.3.2023 - not assigned)
Department of Mathematics
- internal (1.1.2023 - 31.12.2025)
Faculty of Electrical Engineering and Communication
- beneficiary (1.1.2023 - 31.12.2025)

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. 8, p. 1-17. ISSN: 1029-242X.
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.
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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.
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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

DIBLÍK, J.; GALEWSKI, M.; ŠMARDA, Z. Existence results for non-coercive problems. Advances in Nonlinear Analysis, 2025, vol. 14, no. 1, p. 1-13. ISSN: 2191-950X.
Detail

DIBLÍK, J.; GALEWSKI, M.; RADULESCU, V.; ŠMARDA, Z. Multiplicity of solutions for nonlinear coercive problems. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, vol. 528, no. 1, p. 1-13. ISSN: 0022-247X.
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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.
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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

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.
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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. 499 p. ISBN: 978-80-214-6153-6.
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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.
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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

HARTMANOVÁ, M.; DIBLÍK, J. General Solution of Linear Planar Weakly Delayed Discrete Systems with Multiple Delays and with a Singular Matrix of Non-delayed Terms. In Proceedings II of the Conference Student EEICT. Proceedings II of the Conference STUDENT EEICT. 1. Brno: Brno University of Technology, 2025. no. 1, p. 331-335. ISBN: 9788021463219. ISSN: 2788-1334.
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DIBLÍK, J.; GALEWSKI, M.; KOSSOWSKI, I.; MOTREANU, D. ON COMPETING (p, q )- LAPLACIAN DIRICHLET PROBLEM WITH UNBOUNDED WEIGHT. Differential and Integral Equations, 2025, vol. 38, no. 1-2, p. 23-42. ISSN: 0893-4983.
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BEREZANSKY, L.; DIBLÍK, J.; DOMOSHNITSKY, A.; ŠMARDA, Z. Boundedness of solutions and exponential stability for linear neutral differential systems with Volterra integral part. CHAOS SOLITONS & FRACTALS, 2025, vol. 200, no. 1, 18 p. ISSN: 1873-2887.
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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. 407 p. ISBN: 978-80-214-6231-1.
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 30th 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: 978-80-214-6230-4. ISSN: 2788-1334.
Detail

Responsibility: Šmarda Zdeněk, doc. RNDr., CSc.