Mgr. Robert Hakl, Ph.D.

Basic information

Curriculum vitae

Name, first names, scientific degrees

Mgr. Robert Hakl, PhD.

Department/Faculty/University

Institute of Mathematics
Branch in Brno
Czech Academy of Sciences
Žižkova 22
616 62 Brno
Czech Republic

Function, current position

researcher, head of the Brno department

Education and academic qualifications

2000: PhD. in Mathematics; Masaryk University
1996: Mgr. in Mathematics; Masaryk University

Professional experience

2010-: Institute of Mathematics, Czech Academy of Sciences, Branch in Brno; head of the department
2000-2010: Institute of Mathematics, Czech Academy of Sciences, Branch in Brno; researcher

Research activities

Qualitative theory of differential equations and systems, boundary value problems, stability, asymptotic behaviours.

Professional stays abroad

09/2014-07/2015: visiting professor at the Institute of Mathematics and Physics, University of Talca, Chile
04/2011: research stay at the Department of Computer Sciences and Mathematics, Ariel University, Israel
10/2009-05/2010: research stay at the Department of Applied Mathematics, University of Granada, Sapin
12/2008: research stay at the Department of Computer Sciences and Mathematics, Ariel University, Israel
09/1999: research stay at the Institute of Pure and Applied Mathematics, Louvain–la–Neuve, Belgium
06/1999-07/1999: research stay at the A. Razmadze Mathematical Institute, Tbilisi, Georgia
11/1998: research stay at the Department of Applied Mathematics, University of Granada, Sapin

Other academic activities, research projects, grants

2003-2016: Member of the Board of the Institute of Mathematics, Czech Academy of Sciences

Most significant professional accomplishments

2005: Otto Wichterle Award for young researchers of the Czech Academy of Sciences
2000: Rector’s Award of the Masaryk University in Brno

Major publications

HAKL, Robert a Jitka VACKOVÁ. Bounded solutions to systems of nonlinear functional differential equations. Functional Differential Equations. Ariel: Ariel University, roč. 25, 1-2, s. 65-89. ISSN 0793-1786. 2018. info
HAKL, Robert a Manuel ZAMORA. Existence and Multiplicity of Periodic Solutions to Indefinite Singular Equations Having a Non-monotone Term with Two Singularities. Advanced Nonlinear Studies. ISSN 2169-0375. 2018. URL info
HAKL, Robert a Manuel ZAMORA. Periodic solutions of an indefinite singular equation arising from the Kepler problem on the sphere. Canadian Journal of Mathematics. Kanada, roč. 70, č. 1, s. 173-190. ISSN 0008-414X. doi:10.4153/CJM-2016-050-1. 2018. URL info
AGUERREA, Maitere a Robert HAKL. Existence and properties of semi-bounded global solutions to the functional differential equation with Volterra-type operators on the real line. Proceedings of the Royal Society of Edinburgh. ISSN 0308-2105. doi:10.1017/S0308210516000524. 2017. URL info
DOMOSHNITSKY, Alexander, Robert HAKL a Bedřich PŮŽA. Multi-point boundary value problems for linear functional-differential equations. Georgian Mathematical Journal. Berlin: WALTER DE GRUYTER GMBH. ISSN 1072-947X. 2017. URL info
HAKL, Robert a Manuel ZAMORA. Periodic solutions to second-order indefinite singular equations. Journal of Differential Equations. Elsevier. ISSN 0022-0396. 2017. URL info
HAKL, Robert, Manuel PINTO, Viktor TKACHENKO a Sergei TROFIMCHUK. Almost periodic evolution systems with impulse action at state-dependent moments. Journal of Mathematical Analysis and Applications. ISSN 0022-247X. 2017. URL info
HAKL, Robert a Manuel ZAMORA. Existence and uniqueness of a periodic solution to an indefinite attractive singular equation. Annali di Matematica Pura ed Applicata. ISSN 0373-3114. 2016. URL info
ESCUDERO, Carlos, Filippo GAZZOLA, Robert HAKL, Ireneo PERAL a Pedro Jose TORRES VILLARROYA. Existence results for a fourth order partial differential equation arising in condensed matter physics. Mathematica Bohemica. ISSN 0862-7959. 2015. URL info
HAKL, Robert a Manuel ZAMORA. On the open problems connected to the results of Lazer and Solimini. Proceedings of the Royal Society of Edinburgh. ISSN 0308-2105. 2014. URL info
HAKL, Robert a Manuel ZAMORA. Fredholm-type theorem for boundary value problems for systems of nonlinear functional differential equations. Boundary Value Problems. ISSN 1687-2770. 2014. URL info
ESCUDERO, Carlos, Robert HAKL, Ireneo PERAL a Pedro Jose TORRES VILLARROYA. Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth. Mathematical Methods in the Applied Sciences. ISSN 0170-4214. 2014. URL info
HAKL, Robert, Alexander LOMTATIDZE a Ioannis P. STAVROULAKIS. Bounded Solutions to the First Order Scalar Functional Differential Equations. Memoirs on Differential Equations and Mathematical Physics. ISSN 1512-0015. 2013. URL info
HAKL, Robert a Manuel ZAMORA. Existence of a solution to the Dirichlet problem associated to a second-order differential equation with singularities: The method of lower and upper functions. Georgian Mathematical Journal. ISSN 1072-947X. 2013. URL info
HAKL, Robert a Manuel ZAMORA. Periodic solutions to the Liénard type equations with phase attractive singularities. Boundary Value Problems. ISSN 1687-2770. 2013. URL info
ESCUDERO, Carlos, Robert HAKL, Ireneo PERAL a Pedro Jose TORRES VILLARROYA. On radial stationary solutions to a model of non-equilibrium growth. European Journal of Applied Mathematics. ISSN 0956-7925. 2013. URL info
HAKL, Robert. On a two-point boundary value problem for third-order linear functional differential equations. Part 2. MATHEMATICS FOR APPLICATIONS. Brno. ISSN 1805-3610. 2012. URL info
HAKL, Robert. On a two-point boundary value problem for third-order linear functional differential equations. Part1. MATHEMATICS FOR APPLICATIONS. Brno. ISSN 1805-3610. 2012. URL info
DOMOSHNITSKY, Alexander, Robert HAKL a Bedřich PŮŽA. On the dimension of the solution set to the homogeneous linear functional differential equation of the first order. Czechoslovak Mathematical Journal. ISSN 0011-4642. 2012. URL info
HAKL, Robert, Pedro Jose TORRES VILLARROYA a Manuel ZAMORA. Periodic solutions to singular second order differential equations: the repulsive case. Topological methods in nonlinear analysis. Toruń: Julius Schauder center. ISSN 1230-3429. 2012. URL info
DOMOSHNITSKY, Alexander, Robert HAKL a Jiří ŠREMR. Component-wise positivity of solutions to periodic boundary problem for linear functional differential system. Journal of Inequalities and Applications. ISSN 1025-5834. 2012. URL info
HAKL, Robert, Pedro Jose TORRES VILLARROYA a Manuel ZAMORA. Periodic solutions of singular second order differential equations: Upper and lower functions. Nonlinear Analysis: Theory, Methods & Applications. Elsevier Science Ltd. ISSN 0362-546X. 2011. URL info
HAKL, Robert a Pedro Jose TORRES VILLARROYA. Maximum and antimaximum principles for a second order differential operator with variable coefficients of indefinite sign. Applied Mathematics and Computation. ISSN 0096-3003. 2011. URL info
HAKL, Robert a Pedro Jose TORRES VILLARROYA. A combined variational-topological approach for dispersion-managed solitons in optical fibers. Zeitschrift für angewandte Mathematik und Physik. ISSN 0044-2275. 2011. URL info
HAKL, Robert a Pedro Jose TORRES VILLARROYA. On periodic solutions of second-order differential equations with attractive-repulsive singularities. Journal of Differential Equations. ISSN 0022-0396. 2010. URL info
HAKL, Robert a Sulkhan Vladimirovič MUKHIGULASHVILI. A periodic boundary value problem for functional differential equations of higher order. Georgian Mathematical Journal. ISSN 1072-947X. 2009. URL info
HAKL, Robert. Periodic boundary-value problem for third order linear functional differential equations. Ukrainian Mathematical Journal. ISSN 0041-5995. 2008. URL info
HAKL, Robert. On a periodic type boundary value problem for functional differential equations with a positively homogeneous operator. Memoirs on Differential Equations and Mathematical Physics. ISSN 1512-0015. 2007. URL info
HAKL, Robert a Sulkhan Vladimirovič MUKHIGULASHVILI. On a periodic boundary value problem for third order linear functional differential equations. Memoirs on Differential Equations and Mathematical Physics. ISSN 1512-0015. 2007. URL info
HAKL, Robert a Jiří ŠREMR. On the Cauchy problem for two-dimensional systems of linear functional differential equations with monotone operators. Nonlinear Oscillations. New York: Springer New York. ISSN 1536-0059. 2007. URL info
HAKL, Robert a Sulkhan Vladimirovič MUKHIGULASHVILI. On one estimate for periodic functions. Georgian Mathematical Journal. ISSN 1072-947X. 2005. URL info
HAKL, Robert a Sulkhan Vladimirovič MUKHIGULASHVILI. On a boundary value problem for n-th order linear functional differential systems. Georgian Mathematical Journal. ISSN 1072-947X. 2005. URL info
HAKL, Robert. On a boundary value problem for nonlinear functional differential equations. Boundary Value Problems. ISSN 1687-2770. 2005. URL info
LOMTATIDZE, Alexander, Robert HAKL a Jiří ŠREMR. Solvability of a periodic type boubdary value problem for first order scalar functional differential equations. Arch. Math. Brno, roč. 2004, č. 1, s. 89--109. ISSN 0044-8753. 2004. info
LOMTATIDZE, Alexander, Robert HAKL a Ioannis. P STAVROULAKIS. On a boundary value problem for scalar functional differential equations. Abstr, Appl. Anal. roč. 2004, č. 1, s. 45--67, 24 s. ISSN 1085-3375. 2004. info
LOMTATIDZE, Alexander, Robert HAKL a Jiří ŠREMR. On nonnegative solutions of a periodic type boundary value problem for first order scalar functional differential equations. Funct. Differ. Equ. Israel, roč. 2004, 3-4, s. 363-394, 31 s. ISSN 0793-1786. 2004. info
HAKL, Robert. On periodic-type boundary value problems for functional differential equations with a positively homogeneous operator. Miskolc Mathematical Notes. ISSN 1787-2405. 2004. URL info
LOMTATIDZE, Alexander, Robert HAKL a Bedřich PŮŽA. On a boundary value problem for first-order scalar functional differential equations. Nonlinear Analysis TMA. Elsevier Science Ltd., roč. 53 (2003), 3-4, s. 391-405. ISSN 0362-546X. 2003. info
LOMTATIDZE, Alexander, Robert HAKL a Bedřich PŮŽA. On the periodic boundary value problem for first-order functional-differential equations. Differnetial Equations. USA: Plenum Publishing Corporation, roč. 39(2003), č. 3, s. 344-352. ISSN 0012-2661. 2003. info
HAKL, Robert, Alexander LOMTATIDZE a Jiří ŠREMR. On a boundary-value problem of antiperiodic type for first-order nonlinear functional differential equations of non-Volterra type. Nonlinear Oscillations. New York: Springer New York, roč. 6(2003), č. 4, s. 535-559. ISSN 1536-0059. 2003. info
LOMTATIDZE, Alexander a Robert HAKL. A note on the Cauchy problem for first order linear differential equations with deviating argument. Archivum Mathematicum. Brno: Masarykova Universita, roč. 38(2002), č. 1, s. 61-71. ISSN 0044-8753. 2002. info
LOMTATIDZE, Alexander, Robert HAKL a Bedřich PŮŽA. On periodic solutions of first order linear functional differential equations. Nonlinear Analysis TMA. Elsevier Science Ltd., roč. 49(2002), č. 7, s. 929-945. ISSN 0362-546X. 2002. info
LOMTATIDZE, Alexander, Robert HAKL a Jiří ŠREMR. On constant sign solutions of a periodic type boundary value problems for first order functional differential equations. Mem. Diff. Equat. Math. Phys. Georgia, roč. 2002, č. 26, s. 65-92. ISSN 1512-0015. 2002. info
LOMTATIDZE, Alexander, Robert HAKL a Jiří ŠREMR. On an antiperiodic type boundary value problem for first order linear functional differential equations. Arch. Math. (Brno). Brno, roč. 38(2002), č. 2, s. 149-160. ISSN 0044-8753. 2002. info
LOMTATIDZE, Alexander, Robert HAKL a Jiří ŠREMR. On a periodic-type boundary value problem for first order nonlinear functional differential equations. Nonlinear Analysis TMA. Elsevier Science Ltd., roč. 2002, 51 (3), s. 425-447. ISSN 0362-546X. 2002. info
LOMTATIDZE, Alexander, Robert HAKL a Jiří ŠREMR. Solvability and uniqie solvability of a periodic type boundary value problem for first order scalar functional differential equations. Georgian Math. J. Helderman Verlag, roč. 9(2002), č. 3, s. 525-547. ISSN 1072-947X. 2002. info
LOMTATIDZE, Alexander, Robert HAKL a E. BRAVYI. Optimal conditions for unique solvability of the Cauchy problem for first order linear functional differential equations. Czechoslovak Math. J. Prague, roč. 52(2002), č. 3, s. 513-530. ISSN 0011-4642. 2002. info
LOMTATIDZE, Alexander, Robert HAKL a Bedřich PŮŽA. New optimal conditions for unique solvability of the Cauchy problem for first order linear functional differential equations. Mathematica Bohemica. Praha: Matematický ústav AV ČR, roč. 127(2002), č. 4, s. 509-524. ISSN 0862-7959. 2002. info
LOMTATIDZE, Alexander, Robert HAKL a Jiří ŠREMR. On a boundary-value problem of periodic type for first-order linear functional differential equations. Nonlinear Oscillations. New York: Springer New York, roč. 5(2002), č. 3, s. 408-425. ISSN 1536-0059. 2002. info
LOMTATIDZE, Alexander, Robert HAKL a Eugen BRAVYI. On Cauchy problem for the first order nonlinear functional differential equations of non-Volterra's type. Czech. Math. J. Praha, roč. 52(2002), č. 4, s. 673-690. ISSN 0011-4642. 2002. info
LOMTATIDZE, Alexander, Robert HAKL a Jiří ŠREMR. Some boundary value problems for first order scalar functional differential equations. Brno, Czech Republic: Masaryk University. 299 s. Folia, Mathematica 10. ISBN 80-210-3012-7. 2002. info
HAKL, Robert, Alexander LOMTATIDZE a Bedřich PŮŽA. On nonnegative solutions of first order scalar functional differential equations. Memoirs on Differential Equations and Mathematical Physics. Georgia: Publishing House GCI, roč. 2001, č. 23, s. 51-84. ISSN 1512-0015. 2001. info
LOMTATIDZE, Alexander, Robert HAKL a Bedřich PŮŽA. On periodic solutions of first order nonlinear functional differential equations of non-Volterra's type. Memoirs on Diff. Equat. Math. Phys. Georgia, roč. 2001, č. 24, s. 83-105. ISSN 1512-0015. 2001. info
HAKL, Robert. On Nonnegative Bounded Solutions of Systems of Linear Functional Differential Equations. Memoirs on Differential Equations and Mathematical Physics. roč. 19/2000, s. 154-158. ISSN 1512-0015. 2000. info
HAKL, Robert, Ivan KIGURADZE a Bedřich PŮŽA. Upper and lower solutions of boundary value problems for functional differential equations and theorems on functional differential inequalities. Georgian Mathematical Journal. ISSN 1072-947X. 2000. info
HAKL, Robert. On Bounded Solutions of Systems of Linear Functional Differential Equations. Georgian Math. J. Helderman Verlag, roč. 6/1999, č. 5, s. 429-440. ISSN 1072-947X. 1999. info
HAKL, Robert. On Some Boundary Value Problems for Systems of Linear Functional Differential Equations. Eletron. J. Differ. Equ. roč. 1999, č. 10, s. 1-16, 17 s. ISSN 1072-6961. 1999. info