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doc. RNDr. Michal Veselý, Ph.D.

Associate professor, Department of Mathematics and Statistics

Office: pav. 08/02025
Kotlářská 267/2
611 37 Brno

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Phone: +420 549 49 3105
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Basic information
CV

Curriculum Vitae

Person-Related Identification Information
  • Michal Veselý, born in Znojmo
Department
  • Department of Mathematics and Statistics
    Faculty of Science, Masaryk University
    Kotlářská 2
    CZ 61137 Brno
    Czech Republic
Employment - Position
  • Associate Professor
Education and Academic Qualifications
  • 2016: Doc. - Habilitation in mathematics - mathematical analysis, habilitation thesis "Solution spaces of limit periodic and almost periodic linear difference and differential systems" (Faculty of Science, MU)
  • 2011: Ph.D. in mathematics - matematical analysis, Ph.D. thesis "Constructions of almost periodic sequences and functions and homogeneous linear difference and differential systems" (supervisor prof. Došlý, Faculty of Science, MU)
  • 2007: RNDr. in mathematics - matematical analysis, dissertation "Constructions of Almost Periodic Functions and Orthogonal and Unitary Difference Systems" (Faculty of Science, MU)
  • 2007: Mgr. in mathematics - matematical analysis, master thesis "Skoroperiodická řešení skoroperiodických homogenních lineárních diferenčních systémů" (in Czech, supervisor prof. Došlý, Faculty of Science, MU)
  • 2005: Bc. in mathematics, bachelor thesis "Skoroperiodické funkce" (in Czech, supervisor prof. Došlý, Faculty of Science, MU)
Employment
  • 2016-now: Associate Professor, Department of Mathematics and Statistics, Faculty of Science, Masaryk University
  • 2015-2016: Assistant Professor, Department of Mathematics and Statistics, Faculty of Science, Masaryk University
  • 2013-2015: Researcher, Department of Mathematics and Statistics, Faculty of Science, Masaryk University
  • 2011-2013: Assistant Professor, Department of Mathematics and Statistics, Faculty of Science, Masaryk University
  • 2010-2011: Lecturer, Department of Mathematics and Statistics, Faculty of Science, Masaryk University
Teaching Activities
  • Elements of Mathematical analysis (FI: MB142, FI: MB152)
  • Ordinary and partial equations (FS: M7160, FS: M8110)
  • Financial mathematics (FS: M2120)
  • PhD students (current):
    Mgr. Ludmila Linhartová
  • PhD students:
    Mgr. Jakub Juránek, Ph.D. (2021: Ph.D. thesis "Non-oscillation criteria for differential and difference equations with non-periodic coefficients")
    Mgr. Bc. Martin Chvátal, Ph.D. (2016: Ph.D. thesis "Almost periodic solutions of limit periodic and almost periodic linear difference systems")
Scientific and Research Activities
  • Qualitative theory of differential and difference equations
    - almost periodic and non-almost periodic solutions of limit periodic and almost periodic linear systems
    - oscillatory and non-oscillatory solutions of half-linear second-order equations
  • Team member of the grant projects:
    "Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace" (2020-2022, GAČR, principal investigator prof. Z. Došlá)
    "Asymptotic Theory of Ordinary differential equations Integer and Non-integer Order and their numerical Diskretizations" (2017-2019, GAČR, principal investigator prof. Z. Došlá)
    "Hamiltonian and Symplectic Systems: Oscillation and Spectral Theory" (2016, GAČR, principal investigator prof. R. Šimon Hilscher)
    "Employing Postdocs to Scientific Excellence" (2013-2015, MŠMT-OPVK, principal investigator prof. P. Dvořák)
    "Teaching University Mathematics in Changing World" (2010-2013, MŠMT-OPVK, principal investigator prof. J. Janyška)
    "Difference Equations and Dynamic Equations on Time Scales III" (2010-2013, GAČR, principal investigator prof. O. Došlý)
    "Difference Equations and Dynamic Equations on Time Scales II" (2007-2009, GAČR, principal investigator prof. O. Došlý)
Internship
  • Long-term stays
    2022: Bratislava (Slovakia), Slovak Academy of Sciences (Slovak: Slovenská akadémia vied), 1.5 months
    2021: Bratislava (Slovakia), Slovak Academy of Sciences (Slovak: Slovenská akadémia vied), 2 months
    2020: Bratislava (Slovakia), Slovak Academy of Sciences (Slovak: Slovenská akadémia vied), 1 month
    2019: Bratislava (Slovakia), Comenius University (Slovak: Univerzita Komenského), 1 month
    2014: Bratislava (Slovakia), Comenius University (Slovak: Univerzita Komenského), 2 months
    2013: Ulm (Germany), University of Ulm (German: Universität Ulm), 2 months
Awards Related to Science and Research
  • 2009: Prize of the Dean of the Faculty of Science, Masaryk University
  • 2006: Prize of the Dean of the Faculty of Science, Masaryk University
  • 2005: Prize of the Department of Mathematics, Faculty of Science, Masaryk University
Major Publications
  • HASIL, Petr, Michal POSPÍŠIL, Jiřina ŠIŠOLÁKOVÁ a Michal VESELÝ. Oscillation criterion for linear equations with coefficients containing powers of natural logarithm. Monatshefte für Mathematik. Wien: Springer-Verlag, 2024, roč. 203, č. 1, s. 91-109. ISSN 0026-9255. Dostupné z: https://dx.doi.org/10.1007/s00605-023-01910-6. URL info
  • HASIL, Petr a Michal VESELÝ. Oscillation criterion for Euler type half-linear difference equations. Mathematical Methods in the Applied Sciences. Wiley, 2024, roč. 47, č. 6, s. 4283-4305. ISSN 0170-4214. Dostupné z: https://dx.doi.org/10.1002/mma.9814. URL info
  • HASIL, Petr a Michal VESELÝ. Modification of adapted Riccati equation and oscillation of linear and half-linear difference equations. Applied Mathematics Letters. Elsevier, 2023, roč. 141, July 2023, s. 1-8. ISSN 0893-9659. Dostupné z: https://dx.doi.org/10.1016/j.aml.2023.108632. URL info
  • HASIL, Petr a Michal VESELÝ. Limit periodic perturbations of difference systems with coefficients from commutative groups. Journal of Difference Equations and Applications. Taylor & Francis, 2023, roč. 29, č. 1, s. 43-66. ISSN 1023-6198. Dostupné z: https://dx.doi.org/10.1080/10236198.2022.2159818. URL info
  • HASIL, Petr a Michal VESELÝ. Oscillation and nonoscillation of perturbed nonlinear equations with p-Laplacian. Mathematische Nachrichten. Wiley-VCH Verlag GmbH, 2023, roč. 296, č. 7, s. 2809-2837. ISSN 0025-584X. Dostupné z: https://dx.doi.org/10.1002/mana.202100169. URL info
  • HASIL, Petr, Jiřina ŠIŠOLÁKOVÁ a Michal VESELÝ. Oscillation of modified Euler type half-linear differential equations via averaging technique. Electronic Journal of Differential Equations. Texas State University, 2022, roč. 2022, č. 41, s. 1-16. ISSN 1072-6691. URL info
  • HASIL, Petr a Michal VESELÝ. New conditionally oscillatory class of equations with coefficients containing slowly varying and periodic functions. Journal of Mathematical Analysis and Applications. San Diego: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2021, roč. 494, č. 1, s. 1-22. ISSN 0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2020.124585. URL info
  • HASIL, Petr a Michal VESELÝ. Positivity of solutions of adapted generalized Riccati equation with consequences in oscillation theory. Applied Mathematics Letters. Elsevier Ltd., 2021, roč. 117, July, s. "107118", 7 s. ISSN 0893-9659. Dostupné z: https://dx.doi.org/10.1016/j.aml.2021.107118. URL info
  • HASIL, Petr, Jozef KISEL'ÁK, Michal POSPÍŠIL a Michal VESELÝ. Nonoscillation of half-linear dynamic equations on time scales. Mathematical Methods in the Applied Sciences. Wiley, 2021, roč. 44, č. 11, s. 8775-8797. ISSN 0170-4214. Dostupné z: https://dx.doi.org/10.1002/mma.7304. URL info
  • FUJIMOTO, Kodai, Petr HASIL a Michal VESELÝ. Riccati transformation and non-oscillation criterion for linear difference equations. Proceedings of the American Mathematical Society. Providence: American Mathematical Society, 2020, roč. 148, č. 10, s. 4319-4332. ISSN 0002-9939. Dostupné z: https://dx.doi.org/10.1090/proc/15072. URL info
  • HASIL, Petr a Michal VESELÝ. Oscillation result for half-linear dynamic equations on timescales and its consequences. Mathematical Methods in the Applied Sciences. Hoboken: Wiley, 2019, roč. 42, č. 6, s. 1921-1940. ISSN 0170-4214. Dostupné z: https://dx.doi.org/10.1002/mma.5485. Full Text info
  • HASIL, Petr, Jiřina ŠIŠOLÁKOVÁ a Michal VESELÝ. Averaging technique and oscillation criterion for linear and half-linear equations. Applied Mathematics Letters. Oxford: PERGAMON-ELSEVIER SCIENCE LTD, 2019, roč. 92, č. 2019, s. 62-69. ISSN 0893-9659. Dostupné z: https://dx.doi.org/10.1016/j.aml.2019.01.013. Full Text info
  • HASIL, Petr a Michal VESELÝ. Modified Prüfer angle and conditional oscillation of perturbed linear and half-linear differential equations. Applied Mathematics and Computation. New York: ELSEVIER SCIENCE INC, 2019, roč. 361, NOV 15 2019, s. 788-809. ISSN 0096-3003. Dostupné z: https://dx.doi.org/10.1016/j.amc.2019.06.027. Full Text info
  • DOŠLÁ, Zuzana, Petr HASIL, Serena MATUCCI a Michal VESELÝ. Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case. Journal of Inequalities and Applications. 4 CRINAN ST, LONDON, N1 9XW, ENGLAND: SPRINGEROPEN, 2019, roč. 2019, č. 189, s. 1-30. ISSN 1029-242X. Dostupné z: https://dx.doi.org/10.1186/s13660-019-2137-0. URL info
  • HASIL, Petr a Michal VESELÝ. Oscillatory and non-oscillatory solutions of dynamic equations with bounded coefficients. Electronic Journal of Differential Equations. San Marcos, TX 78666, USA: Texas State University, 2018, roč. 2018, č. 24, s. 1-22. ISSN 1072-6691. info
  • HASIL, Petr, Jakub JURÁNEK a Michal VESELÝ. Adapted Riccati technique and non-oscillation of linear and half-linear equations. Applied Mathematics Letters. KIDLINGTON, OXFORD OX5 1GB, ENGLAND: PERGAMON-ELSEVIER SCIENCE LTD, 2018, roč. 82, August 2018, s. 98-105. ISSN 0893-9659. Dostupné z: https://dx.doi.org/10.1016/j.aml.2018.03.003. URL info
  • HASIL, Petr a Michal VESELÝ. Oscillation and non-oscillation results for solutions of perturbed half-linear equations. Mathematical Methods in the Applied Sciences. 111 RIVER ST, HOBOKEN 07030-5774: Wiley, 2018, roč. 41, č. 9, s. 3246-3269. ISSN 0170-4214. Dostupné z: https://dx.doi.org/10.1002/mma.4813. URL info
  • DOŠLÝ, Ondřej, Jaroslav JAROŠ a Michal VESELÝ. Generalized Prüfer angle and oscillation of half-linear differential equations. Applied Mathematics Letters. KIDLINGTON, OXFORD, ENGLAND: PERGAMON-ELSEVIER SCIENCE LTD, 2017, roč. 64, February, s. 34-41. ISSN 0893-9659. Dostupné z: https://dx.doi.org/10.1016/j.aml.2016.08.004. URL info
  • HASIL, Petr a Michal VESELÝ. Oscillation and non-oscillation criteria for linear and half-linear difference equations. Journal of Mathematical Analysis and Applications. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE, 2017, roč. 452, č. 1, s. 401-428. ISSN 0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2017.03.012. info
  • HASIL, Petr a Michal VESELÝ. Solution spaces of homogeneous linear difference systems with coefficient matrices from commutative groups. Journal of Difference Equations and Applications. Abingdon: Taylor and Francis, 2017, roč. 23, č. 8, s. 1324-1353. ISSN 1023-6198. Dostupné z: https://dx.doi.org/10.1080/10236198.2017.1326912. info
  • HASIL, Petr a Michal VESELÝ. Oscillation and non-oscillation criterion for Riemann-Weber type half-linear differential equations. Electronic Journal of Qualitative Theory of Differential Equations. Maďarsko: Electronic Journal of Qualitative Theory of Differential Equations, 2016, roč. 2016, č. 59, s. "nestrankovano", 22 s. ISSN 1417-3875. Dostupné z: https://dx.doi.org/10.14232/ejqtde.2016.1.59. info
  • DOŠLÝ, Ondřej a Michal VESELÝ. Oscillation and non-oscillation of Euler type half-linear differential equations. Journal of Mathematical Analysis and Applications. 2015, roč. 429, č. 1, s. 602-621. ISSN 0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2015.04.030. URL info
  • VESELÝ, Michal a Petr HASIL. Limit periodic homogeneous linear difference systems. Applied Mathematics and Computation. Elsevier, 2015, roč. 265, August, s. 958-972. ISSN 0096-3003. Dostupné z: https://dx.doi.org/10.1016/j.amc.2015.06.008. info
  • HASIL, Petr a Michal VESELÝ. Limit periodic linear difference systems with coefficient matrices from commutative groups. Electronic Journal of Qualitative Theory of Differential Equations. Maďarsko: Electronic Journal of Qualitative Theory of Differential Equations, 2014, roč. 2014, č. 23, s. 1-25. ISSN 1417-3875. URL info
  • HASIL, Petr a Michal VESELÝ. Almost periodic transformable difference systems. Applied Mathematics and Computation. Spojené státy americké: Elsevier, 2012, roč. 218, č. 9, s. 5562-5579. ISSN 0096-3003. Dostupné z: https://dx.doi.org/10.1016/j.amc.2011.11.050. info
  • VESELÝ, Michal. Almost periodic skew-symmetric differential systems. Electronic Journal of Qualitative Theory of Differential Equations. Szeged: Bolyai Institute, University of Szeged, 2012, roč. 2012, č. 72, s. 1-16. ISSN 1417-3875. info
  • VESELÝ, Michal. Almost periodic homogeneous linear difference systems without almost periodic solutions. Journal of Difference Equations and Applications. Taylor and Francis, 2012, roč. 18, č. 10, s. 1623-1647. ISSN 1023-6198. Dostupné z: https://dx.doi.org/10.1080/10236198.2011.585984. info
  • VESELÝ, Michal. Construction of almost periodic functions with given properties. Electronic Journal of Differential Equations. San Marcos, TX 78666, USA: Texas State University - San Marcos, 2011, roč. 2011, č. 29, s. 1-25. ISSN 1072-6691. URL info
  • VESELÝ, Michal. Construction of almost periodic sequences with given properties. Electronic Journal of Differential Equations. San Marcos, TX 78666, USA: Texas State University - San Marcos, 2008, roč. 2008, č. 126, s. 1-22. ISSN 1072-6691. info

2024/06/18

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