Přejít k obsahu | Přejít k hlavnímu menu | Přejít k vyhledávání

Mgr. Robert Hakl, Ph.D.

Základní údaje
Životopis

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, 2018, roč. 25, 1-2, s. 65-89. ISSN 0793-1786. 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. 2018. ISSN 2169-0375. 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, 2018, roč. 70, č. 1, s. 173-190. ISSN 0008-414X. Dostupné z: https://dx.doi.org/10.4153/CJM-2016-050-1. 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. 2017. ISSN 0308-2105. Dostupné z: https://dx.doi.org/10.1017/S0308210516000524. 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, 2017. ISSN 1072-947X. URL info
  • HAKL, Robert a Manuel ZAMORA. Periodic solutions to second-order indefinite singular equations. Journal of Differential Equations. Elsevier, 2017. ISSN 0022-0396. 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. 2017. ISSN 0022-247X. 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. 2016. ISSN 0373-3114. 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. 2015. ISSN 0862-7959. 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. 2014. ISSN 0308-2105. URL info
  • HAKL, Robert a Manuel ZAMORA. Fredholm-type theorem for boundary value problems for systems of nonlinear functional differential equations. Boundary Value Problems. 2014. ISSN 1687-2770. 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. 2014. ISSN 0170-4214. 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. 2013. ISSN 1512-0015. 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. 2013. ISSN 1072-947X. URL info
  • HAKL, Robert a Manuel ZAMORA. Periodic solutions to the Liénard type equations with phase attractive singularities. Boundary Value Problems. 2013. ISSN 1687-2770. 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. 2013. ISSN 0956-7925. URL info
  • HAKL, Robert. On a two-point boundary value problem for third-order linear functional differential equations. Part 2. MATHEMATICS FOR APPLICATIONS. Brno, 2012. ISSN 1805-3610. URL info
  • HAKL, Robert. On a two-point boundary value problem for third-order linear functional differential equations. Part1. MATHEMATICS FOR APPLICATIONS. Brno, 2012. ISSN 1805-3610. 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. 2012. ISSN 0011-4642. 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, 2012. ISSN 1230-3429. 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. 2012. ISSN 1025-5834. 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., 2011. ISSN 0362-546X. 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. 2011. ISSN 0096-3003. 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. 2011. ISSN 0044-2275. 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. 2010. ISSN 0022-0396. URL info
  • HAKL, Robert a Sulkhan Vladimirovič MUKHIGULASHVILI. A periodic boundary value problem for functional differential equations of higher order. Georgian Mathematical Journal. 2009. ISSN 1072-947X. URL info
  • HAKL, Robert. Periodic boundary-value problem for third order linear functional differential equations. Ukrainian Mathematical Journal. 2008. ISSN 0041-5995. 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. 2007. ISSN 1512-0015. 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. 2007. ISSN 1512-0015. 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, 2007. ISSN 1536-0059. URL info
  • HAKL, Robert a Sulkhan Vladimirovič MUKHIGULASHVILI. On one estimate for periodic functions. Georgian Mathematical Journal. 2005. ISSN 1072-947X. URL info
  • HAKL, Robert a Sulkhan Vladimirovič MUKHIGULASHVILI. On a boundary value problem for n-th order linear functional differential systems. Georgian Mathematical Journal. 2005. ISSN 1072-947X. URL info
  • HAKL, Robert. On a boundary value problem for nonlinear functional differential equations. Boundary Value Problems. 2005. ISSN 1687-2770. 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, 2004, roč. 2004, č. 1, s. 89--109. ISSN 0044-8753. info
  • LOMTATIDZE, Alexander, Robert HAKL a Ioannis. P STAVROULAKIS. On a boundary value problem for scalar functional differential equations. Abstr, Appl. Anal. 2004, roč. 2004, č. 1, s. 45--67, 24 s. ISSN 1085-3375. 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, 2004, roč. 2004, 3-4, s. 363-394, 31 s. ISSN 0793-1786. info
  • HAKL, Robert. On periodic-type boundary value problems for functional differential equations with a positively homogeneous operator. Miskolc Mathematical Notes. 2004. ISSN 1787-2405. 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., 2003, roč. 53 (2003), 3-4, s. 391-405. ISSN 0362-546X. 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, 2003, roč. 39(2003), č. 3, s. 344-352. ISSN 0012-2661. 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, 2003, roč. 6(2003), č. 4, s. 535-559. ISSN 1536-0059. 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, 2002, roč. 38(2002), č. 1, s. 61-71. ISSN 0044-8753. info
  • LOMTATIDZE, Alexander, Robert HAKL a Bedřich PŮŽA. On periodic solutions of first order linear functional differential equations. Nonlinear Analysis TMA. Elsevier Science Ltd., 2002, roč. 49(2002), č. 7, s. 929-945. ISSN 0362-546X. 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, 2002, roč. 2002, č. 26, s. 65-92. ISSN 1512-0015. 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, 2002, roč. 38(2002), č. 2, s. 149-160. ISSN 0044-8753. 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., 2002, roč. 2002, 51 (3), s. 425-447. ISSN 0362-546X. 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, 2002, roč. 9(2002), č. 3, s. 525-547. ISSN 1072-947X. 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, 2002, roč. 52(2002), č. 3, s. 513-530. ISSN 0011-4642. 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, 2002, roč. 127(2002), č. 4, s. 509-524. ISSN 0862-7959. 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, 2002, roč. 5(2002), č. 3, s. 408-425. ISSN 1536-0059. 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, 2002, roč. 52(2002), č. 4, s. 673-690. ISSN 0011-4642. info
  • LOMTATIDZE, Alexander, Robert HAKL a Jiří ŠREMR. Some boundary value problems for first order scalar functional differential equations. Brno, Czech Republic: Masaryk University, 2002, 299 s. Folia, Mathematica 10. ISBN 80-210-3012-7. 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, 2001, roč. 2001, č. 23, s. 51-84. ISSN 1512-0015. 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, 2001, roč. 2001, č. 24, s. 83-105. ISSN 1512-0015. info
  • HAKL, Robert. On Nonnegative Bounded Solutions of Systems of Linear Functional Differential Equations. Memoirs on Differential Equations and Mathematical Physics. 2000, roč. 19/2000, s. 154-158. ISSN 1512-0015. 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. 2000. ISSN 1072-947X. info
  • HAKL, Robert. On Bounded Solutions of Systems of Linear Functional Differential Equations. Georgian Math. J. Helderman Verlag, 1999, roč. 6/1999, č. 5, s. 429-440. ISSN 1072-947X. info
  • HAKL, Robert. On Some Boundary Value Problems for Systems of Linear Functional Differential Equations. Eletron. J. Differ. Equ. 1999, roč. 1999, č. 10, s. 1-16, 17 s. ISSN 1072-6961. info

2018/10/20

Školitel
Kvalifikace
Publikace
Projekty
Výuka

Používáte starou verzi internetového prohlížeče. Doporučujeme aktualizovat Váš prohlížeč na nejnovější verzi.

Další info