doc. RNDr. Jan Čermák, CSc. 
 2071 
Education and academic qualification
 01.09.198105.06.1986, Brno, Study of the branch of mathematical analysis, Faculty of Science, Masaryk University, Brno
 01.09.199121.03.1996, Brno, External doctoral study, Mathematical Institute of Academy of Science in Prague, the branch mathematical analysis
 5.6. 1986: M.S., Faculty of Science, Masaryk University, Brno, the branch mathematical analysis
 21.3. 1996: Ph.D., Mathematical Institute, Academy of Sciences of the Czech Republic, Prague, the branch mathematical analysis
 28.5. 1999: Associate Professor, Faculty of Mechanical Engineering, Brno University of Technology, the branch mathematics

Career overview
 01.09.1986, , Institute of Mathematics, FME BUT, research worker, assistant professor, associate professor
 19861990, research worker, Institute of Mathematics, FME BUT
 19901999, Assistant Professor, Institute of Mathematics, FME BUT
 since 1999 Associate Professor, Institute of Mathematics, FME BUT

Pedagogic activities
 BSC study programme: Mathematics IIII, Mathematical Analysis III, Numerical methods, Mathematical Modelling via Differential Equations
 MSC study programme, study branch Mathematical Engineering: Fundamentals of Optimal Control Theory
 Ph.D. study programme: Mathematical Methods of Optimal Control
 Ph.D. Thesis supervised (7 defended), MSC and BSC Thesis supervised
 5 textbooks for subjects Mathematics III, Mathematical Analysis III, Line and Surface Integral, Fundamentals of Optimal Control Theory

Scientific activities
 Delay differential equations
 Fractional calculus and fractional differential equations
 Difference and functional equations
 Dynamic equations on time scales
 The research is supported by grant projects of the Czech Science Foundation and by other projects

University activities
 19931996, member of academic senate of FME BUT
 since 2004, member of PhD study branch council at FME BUT
 20002007, pedagogical secretary of Institute of Mathematics of FME BUT
 since 2007, head of Dept. of Mathematical Analysis

NonUniversity activities
 since 2010, member of habilitation committees
 since 2014, member of the editorial board of the international scientific journal Studies of the University of Žilina (Mathematical series)
 since 2003, member of organizing and scientific committees of international conferences (ICDEA, Equadiff, CDDEA)
 since 2003, reviewer of inaugural dissertations and papers for international journals

Prizing by scientific community
 invited lectures including the cover of all stay expenses at foreign universities, international conferences and workshops (University of Pannonia, Veszprem, 2010, Comenius University in Bratislava, 2012, ICNDDE 2014, Side, WDDDE 2014, Veszprem)

Projects
 1. Oscillatory and asymptotic properties of solutions of linear differential equations, the grant project of the Grant Agency of the Academy of Sciences of the Czech Republic no. A109902/1999, 19992001.
 2. Qualitative properties of solutions of difference equations, the grant project of the Czech Science Foundation no. 201/01/0079, 20012003.
 3. Limit properties of solutions of differential equations, the grant project of the Grant Agency of the Academy of Sciences of the Czech Republic no. IAA1163401, 20042006.
 4. Electronic study supports for the teaching of mathematics at FME BUT, development project of FRVS, no. 512/2007.
 5. Oscillatory and asymptotic properties of solutions of differential equations, the grant project of the Czech Science Foundation no. 201/08/0469, 20082010.
 6. Simulation modelling of mechatronic systems, the research plan of the Ministry of Education, Youth and Sports of the Czech Republic no. MSM 0021630518, 20052011.
 7. Qualitative properties of solutions of differential equations and their applications, the grant project of the Czech Science Foundation no. P201/11/0768, 20112015.
 8. Asymptotic theory of ordinary differential equations of integer and noninteger orders and their numerical discretizations, the grant project of the Czech Science Foundation no. 1703224S, 20172019.

Sum of citations (without selfcitations) indexed within SCOPUS
180

Sum of citations (without selfcitations) indexed within ISI Web of Knowledge
170

Sum of other citations (without selfcitations)
10

Supervised courses:
Publications:
 ČERMÁK, J.; NECHVÁTAL, L.:
The Routh–Hurwitz conditions of fractional type in stability analysis of the Lorenz dynamical system,
NONLINEAR DYNAMICS, Vol.87, (2017), No.2, pp.939954, ISSN 1573269X, Springer
journal article
 ČERMÁK, J.; KISELA, T.; HORNÍČEK, J.:
Stability regions for fractional differential systems with a time delay,
Communications in Nonlinear Science and Numerical Simulation, Vol.31, (2016), No.13, pp.108123, ISSN 10075704, Elsevier Science BV
journal article
 ČERMÁK, J.; NECHVÁTAL, L.; GYŐRI, I.:
On explicit stability conditions for a linear fractional difference system,
Fractional Calculus and Applied Analysis, Vol.18, (2015), No.3, pp.651672, ISSN 13110454, Walter de Gruyter GmbH, Berlin/Boston
journal article
 ČERMÁK, J.; KISELA, T.:
Introduction to Stability Theory of Linear Fractional Difference Equations,
Fractional Calculus: Theory, pp.117162, ISBN 9781634630023, (2014)
book chapter
 ČERMÁK, J.; KISELA, T.:
Exact and discretized stability of the BagleyTorvik equation,
Journal of Computational and Applied Mathematics, Vol.269, (2014), No.10, pp.5367, ISSN 03770427, Elsevier
journal article
 ČERMÁK, J.; KISELA, T.; NECHVÁTAL, L.:
Stability regions for linear fractional differential systems and their discretizations,
APPLIED MATHEMATICS AND COMPUTATION, Vol.219, (2013), No.12, pp.70127022, ISSN 00963003
journal article
 ČERMÁK, J.; JÁNSKÝ, J.; TOMÁŠEK, P.:
On necessary and sufficient conditions for the asymptotic stability of higher order linear difference equations,
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, Vol.18, (2012), No.11, pp.17811800, ISSN 10236198, Taylor & Francis
journal article
List of publications at Portal BUT
 ČERMÁK, J.; KISELA, T.:
Exact and discretized stability of the BagleyTorvik equation,
Journal of Computational and Applied Mathematics, Vol.269, (2014), No.10, pp.5367, ISSN 03770427, Elsevier
journal article
The paper discusses stability and asymptotic properties of a twoterm linear fractional differential equation involving the Bagley–Torvik equation as the particular case. These properties are analysed for the exact as well as numerical solutions obtained from the Grünwald–Letnikov discretization of the studied differential equation. As the main results, precise descriptions of the exact and discretized stability regions are presented, including the decay rate of the solutions.
 ČERMÁK, J.; KISELA, T.; NECHVÁTAL, L.:
Stability regions for linear fractional differential systems and their discretizations,
APPLIED MATHEMATICS AND COMPUTATION, Vol.219, (2013), No.12, pp.70127022, ISSN 00963003
journal article
This paper concerns with basic stability properties of linear autonomous fractional differential and difference systems involving derivative operators of the
RiemannLiouville type. We derive stability regions for special discretizations of the studied fractional differential systems including a precise description of
their asymptotics.
 ČERMÁK, J.; JÁNSKÝ, J.; TOMÁŠEK, P.:
On necessary and sufficient conditions for the asymptotic stability of higher order linear difference equations,
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, Vol.18, (2012), No.11, pp.17811800, ISSN 10236198, Taylor & Francis
journal article
This paper discusses two explicit forms of necessary and sufficient conditions for the asymptotic stability of the autonomous fourterm linear difference equation. These conditions are derived by use of the Schur–Cohn criterion converted into a more applicable form.
 ČERMÁK, J.:
The stability and asymptotic properties of the Thetamethods for the pantograph equation,
IMA Journal of Numerical Analysis, Vol.31, (2011), No.4, pp.15331551, ISSN 02724979, Oxford University Press
journal article
This paper discusses stability and asymptotic properties of a numerical solution of the nonhomogeneous pantograph equation. The utilized discretizations originate from the Thetamethods considered on uniform as well as quasigeometric mesh.
 ČERMÁK, J.; JÁNSKÝ, J.:
On the asymptotics of the trapezoidal rule for the pantograph equation,
Mathematics of Computation, Vol.78, (2009), No.268, pp.21072126, ISSN 00255718, American Mathematical Society
journal article
The paper discusses some problems of the numerical discretizations of the pantograph equation with a special emphasize to the trapezoidal rule discretization. The main result formulates conditions under which the numerical solution has the same decay rate as the exact solution.