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
- Department of Mathematics and Statistics
- 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)
- Qualitative theory of differential and difference equations
- 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
- Long-term stays
- 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 and Michal VESELÝ. Oscillation criterion for linear equations with coefficients containing powers of natural logarithm. Monatshefte für Mathematik. Wien: Springer-Verlag, 2024, vol. 203, No 1, p. 91-109. ISSN 0026-9255. Available from: https://dx.doi.org/10.1007/s00605-023-01910-6. URL info
- HASIL, Petr and Michal VESELÝ. Oscillation criterion for Euler type half-linear difference equations. Mathematical Methods in the Applied Sciences. Wiley, 2024, vol. 47, No 6, p. 4283-4305. ISSN 0170-4214. Available from: https://dx.doi.org/10.1002/mma.9814. URL info
- HASIL, Petr and Michal VESELÝ. Modification of adapted Riccati equation and oscillation of linear and half-linear difference equations. Applied Mathematics Letters. Elsevier, 2023, vol. 141, July 2023, p. 1-8. ISSN 0893-9659. Available from: https://dx.doi.org/10.1016/j.aml.2023.108632. URL info
- HASIL, Petr and Michal VESELÝ. Limit periodic perturbations of difference systems with coefficients from commutative groups. Journal of Difference Equations and Applications. Taylor & Francis, 2023, vol. 29, No 1, p. 43-66. ISSN 1023-6198. Available from: https://dx.doi.org/10.1080/10236198.2022.2159818. URL info
- HASIL, Petr and Michal VESELÝ. Oscillation and nonoscillation of perturbed nonlinear equations with p-Laplacian. Mathematische Nachrichten. Wiley-VCH Verlag GmbH, 2023, vol. 296, No 7, p. 2809-2837. ISSN 0025-584X. Available from: https://dx.doi.org/10.1002/mana.202100169. URL info
- HASIL, Petr, Jiřina ŠIŠOLÁKOVÁ and Michal VESELÝ. Oscillation of modified Euler type half-linear differential equations via averaging technique. Electronic Journal of Differential Equations. Texas State University, 2022, vol. 2022, No 41, p. 1-16. ISSN 1072-6691. URL info
- HASIL, Petr and 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, vol. 494, No 1, p. 1-22. ISSN 0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2020.124585. URL info
- HASIL, Petr and Michal VESELÝ. Positivity of solutions of adapted generalized Riccati equation with consequences in oscillation theory. Applied Mathematics Letters. Elsevier Ltd., 2021, vol. 117, July, p. "107118", 7 pp. ISSN 0893-9659. Available from: https://dx.doi.org/10.1016/j.aml.2021.107118. URL info
- HASIL, Petr, Jozef KISEL'ÁK, Michal POSPÍŠIL and Michal VESELÝ. Nonoscillation of half-linear dynamic equations on time scales. Mathematical Methods in the Applied Sciences. Wiley, 2021, vol. 44, No 11, p. 8775-8797. ISSN 0170-4214. Available from: https://dx.doi.org/10.1002/mma.7304. URL info
- FUJIMOTO, Kodai, Petr HASIL and Michal VESELÝ. Riccati transformation and non-oscillation criterion for linear difference equations. Proceedings of the American Mathematical Society. Providence: American Mathematical Society, 2020, vol. 148, No 10, p. 4319-4332. ISSN 0002-9939. Available from: https://dx.doi.org/10.1090/proc/15072. URL info
- HASIL, Petr and Michal VESELÝ. Oscillation result for half-linear dynamic equations on timescales and its consequences. Mathematical Methods in the Applied Sciences. Hoboken: Wiley, 2019, vol. 42, No 6, p. 1921-1940. ISSN 0170-4214. Available from: https://dx.doi.org/10.1002/mma.5485. Full Text info
- HASIL, Petr, Jiřina ŠIŠOLÁKOVÁ and Michal VESELÝ. Averaging technique and oscillation criterion for linear and half-linear equations. Applied Mathematics Letters. Oxford: PERGAMON-ELSEVIER SCIENCE LTD, 2019, vol. 92, No 2019, p. 62-69. ISSN 0893-9659. Available from: https://dx.doi.org/10.1016/j.aml.2019.01.013. Full Text info
- HASIL, Petr and 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, vol. 361, NOV 15 2019, p. 788-809. ISSN 0096-3003. Available from: https://dx.doi.org/10.1016/j.amc.2019.06.027. Full Text info
- DOŠLÁ, Zuzana, Petr HASIL, Serena MATUCCI and 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, vol. 2019, No 189, p. 1-30. ISSN 1029-242X. Available from: https://dx.doi.org/10.1186/s13660-019-2137-0. URL info
- HASIL, Petr and 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, vol. 2018, No 24, p. 1-22. ISSN 1072-6691. info
- HASIL, Petr, Jakub JURÁNEK and 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, vol. 82, August 2018, p. 98-105. ISSN 0893-9659. Available from: https://dx.doi.org/10.1016/j.aml.2018.03.003. URL info
- HASIL, Petr and 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, vol. 41, No 9, p. 3246-3269. ISSN 0170-4214. Available from: https://dx.doi.org/10.1002/mma.4813. URL info
- DOŠLÝ, Ondřej, Jaroslav JAROŠ and Michal VESELÝ. Generalized Prüfer angle and oscillation of half-linear differential equations. Applied Mathematics Letters. KIDLINGTON, OXFORD, ENGLAND: PERGAMON-ELSEVIER SCIENCE LTD, 2017, vol. 64, February, p. 34-41. ISSN 0893-9659. Available from: https://dx.doi.org/10.1016/j.aml.2016.08.004. URL info
- HASIL, Petr and 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, vol. 452, No 1, p. 401-428. ISSN 0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2017.03.012. info
- HASIL, Petr and 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, vol. 23, No 8, p. 1324-1353. ISSN 1023-6198. Available from: https://dx.doi.org/10.1080/10236198.2017.1326912. info
- HASIL, Petr and 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, vol. 2016, No 59, p. "nestrankovano", 22 pp. ISSN 1417-3875. Available from: https://dx.doi.org/10.14232/ejqtde.2016.1.59. info
- DOŠLÝ, Ondřej and Michal VESELÝ. Oscillation and non-oscillation of Euler type half-linear differential equations. Journal of Mathematical Analysis and Applications. 2015, vol. 429, No 1, p. 602-621. ISSN 0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2015.04.030. URL info
- VESELÝ, Michal and Petr HASIL. Limit periodic homogeneous linear difference systems. Applied Mathematics and Computation. Elsevier, 2015, vol. 265, August, p. 958-972. ISSN 0096-3003. Available from: https://dx.doi.org/10.1016/j.amc.2015.06.008. info
- HASIL, Petr and 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, vol. 2014, No 23, p. 1-25. ISSN 1417-3875. URL info
- HASIL, Petr and Michal VESELÝ. Almost periodic transformable difference systems. Applied Mathematics and Computation. Spojené státy americké: Elsevier, 2012, vol. 218, No 9, p. 5562-5579. ISSN 0096-3003. Available from: 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, vol. 2012, No 72, p. 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, vol. 18, No 10, p. 1623-1647. ISSN 1023-6198. Available from: 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, vol. 2011, No 29, p. 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, vol. 2008, No 126, p. 1-22. ISSN 1072-6691. info
2024/06/18
Curriculum Vitae: doc. RNDr. Michal Veselý, Ph.D. (učo 78392), version: English(1), last update: 2024/06/18 14:22, M. Veselý
Another Variant: Czech(1)