Curriculum vitae of Jan Tomecek

(Last update: January 11, 2013) 1
Curriculum vitae of Jan Tomeček
Contact details:
Department of Mathematical Analysis and Mathematical Applications,
Palack´y University, Faculty of Science,
17. listopadu 12
771 46 Olomouc
Czech Republic
Email address: jan.tomecek@upol.cz
Tel: (+420) 585 634 616
Personal information:
Date of birth: May 13, 1980
Place of birth: Olomouc, Czech Republic
Citizenship: Czech Republic
Education:
1999 – 2004 Palack´y University in Olomouc, Faculty of Science,
Master in Mathematical analysis
2004 – 2007 Palack´y University in Olomouc, Faculty of Science,
Ph.D. study, branch: mathematical analysis
2007 obtained Ph.D. in Mathematics
2008 – 2012 Palack´y University in Olomouc, Faculty of Science,
Bachelor in Applied informatics,
Professional experience:
since 2007 assistant professor, Department of Mathematical Analysis
and Mathematical Applications, Palack´y University in Olomouc,
Faculty of Science.
Research and teaching
• I’m mainly interested in boundary value problems for impulsive and singular
differential equations, see the list of publications.
• I teach basics of calculus.

(Last update: January 11, 2013) 2
Attendance on international conferences and workshops
• International conference on nonlinear operators, differential equations and
applications, ICNODEA–2007, Cluj–Napoca, Romania, July 4–8, 2007;
contributed talk with title “Boundary value problem for ordinary differential
equation with impulses”.
• Workshop on Differential Equations, Hejnice, Czech Republic, September
16–20, 2007; contributed talk with title “Singular nonlinear problem for
ordinary differential equation of the second order”.
• Mathematical Models in Engineering, Biology and Medicine. Conference
on Boundary Value Problems, Santiago de Compostela, Spain, September
16–19, 2008; invited talk with title “On nonlinear second order boundary
value problems arising in hydrodynamics”.
• The Fourth International Workshop–2009 “Constructive Methods for Nonlinear
Boundary Value Problems”, Eger, Hungary, July 1–4, 2009; invited
talk with title “On strictly increasing solutions of ODEs arising in hydrodynamics”
• EQUADIFF 12, Brno, Czech Republic, July 20–24, 2009; contributed talk
with title “On strictly increasing solutions of some singular boundary value
problem on the half–line”
Publication activities
1. Rach˚unková, I., Tomeček, J.: On nonlinear boundary value problems with
impulses. Mathematical Notes 3 (2002), 59–69.
2. Rach˚unková, I., Tomeček, J.: On nonlinear boundary value problems for
systems of differential equations with impulses. Acta Univ. Palack. Olomuc.
Fac. Rerum Natur. Math. 41 (2002), 119–129.
3. Rach˚unková, I., Tomeček, J.: Impulsive BVPs with nonlinear boundary
conditions for the second order differential equations without growth restrictions.
J. Math. Anal. Appl. 292 (2004), 525–539.
4. Tomeček, J.: Nonlinear boundary value problem for nonlinear second order
differential equations with impulses. E. J. Qualitative Theory of Diff. Equ.
10 (2005), 1–22.
5. Rach˚unková, I., Tomeček, J.: Singular Dirichlet problem for ordinary differential
equation with impulses. Nonlinear Analysis 65 (2006), 210–229.
6. Rach˚unková, I., Tomeček, J.: Singular nonlinear problem for ordinary
differential equation of the second order, Acta Univ. Palacki. Olomuc.,
Fac. rer. nat., Mathematica 46 (2007), 83–92.

(Last update: January 11, 2013) 3
7. Cabada, A., Tomeček, J.: Nonlinear second–order equations with functional
implicit impulses and nonlinear functional boundary conditions.
J. Math. Anal. Appl. 328 (2007), 2, 1013–1025.
8. Cabada, A., Tomeček, J.: Extremal solutions for nonlinear functional
φ–Laplacian impulsive equations. Nonlinear Analysis 67 (2007) 827-841.
9. Pouso, R. L., Tomeček, J.: First– and second–order discontinuous functional
differential equations with impulses at fixed moments. Nonlinear
Analysis 67 (2007) 455-467.
10. Cabada A., Tomeček, J.: Existence of extremal solutions for nonlinear
discontinuous impulsive functional φ–Laplacian equations with nonlinear
discontinuous functional boundary conditions. Mem. Differ. Equ. Math.
Phys. 40 (2007), 1–16.
11. Rach˚unková, I., Tomeček, J.: Singular problems on the half-line, Acta
Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica 48 (2009) 109–128.
12. Rach˚unková, I., Tomeček, J.: Homoclinic solutions of singular nonautonomous
second order differential equations, Boundary Value Problems
2009 (2009), Article ID 959636, 21 pages.
13. Rach˚unková, I., Tomeček, J.: Bubble–type solutions of nonlinear singular
problem, Mathematical and Computer Modelling, Mathematical and
Computer Modelling 51 (2010), 658–669.
14. Rach˚unková, I., Tomeček, J.: Strictly increasing solutions of a nonlinear
singular differential equation arising in hydrodynamics, Nonlinear Analysis
72 (2010), 2114–2118.
15. Rach˚unková, I., Tomeček, J., Stryja J.: Oscillatory solutions of singular
equations arising in hydrodynamics, Advances in Difference Equations,
Recent Trends in Differential and Difference Equations. Vol. 2010, Article
ID 872160, 13 pages.
16. Rach˚unková, I., Tomeček, J.: Superlinear Singular Problems on the Half
Line, Boundary Value Problems, vol. 2010, Article ID 429813, 18 pages,
2010.
17. Rach˚unková, I., Rach˚unek L., Tomeček, J.: Existence of Oscillatory Solutions
of Singular Nonlinear Differential Equations, Abstract and Applied
Analysis, vol. 2011, Article ID 408525, 20 pages, 2011.
18. Rach˚unková, I., Tomeček, J.: A new approach to BVPs with state-dependent
impulses, Boundary Value Problems, to appear.
19. Rach˚unková, I., Tomeček, J.: Second order BVPs with state-dependent
impulses via lower and upper functions, CEJM, to appear.

(Last update: January 11, 2013) 4
Contributions in conference proceedings
1. Rach˚unková, I., Tomeček, J.: Singular nonlinear problem for ordinary
differential equation of the second-order on the half-line. Mathematical
Models in Engineering, Biology and Medicine, Proc. of Intern. Conf. on
BVPs, ed. by A. Cabada, E. Liz and J. J. Nieto (2009), 294–303.