Mnoho nul je přesvědčených, že jsou elipsami, po kterých obíhá zem. (Stanislaw Jerzy Lec)

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veda [2020/03/05 07:36] (aktuální)
Řádek 1: Řádek 1:
 +{{INLINETOC}}
 +<markdown>
 +Research
 +========
 +
 +Research interest
 +-----------------
 +### Researcher ID, Scopus, scientometrics ###
 +-   [Researcher ID page](http://www.researcherid.com/rid/B-1207-2010)
 +-   [My profile on
 +    Scopus](http://www.scopus.com/authid/detail.url?authorId=6602164820).
 +
 +### Scientific interest  ###
 +-   Qualitative theory of partial and ordinary differential equations,
 +    oscillation properties.
 +-   Qualitative theory of linear and half-linear difference equations.
 +
 +Published reserch papers
 +------------------------
 +1.  Simona Fišnarová, Robert Mařík, Oscillation of half-linear differential equations with delay, 
 +    Abstract and Applied Analysis
 +    Volume 2013 (2013), Article ID 583147, 6 pages, 
 +    [online](http://www.hindawi.com/journals/aaa/2013/583147/)
 +1.  Simona Fišnarová, Robert Mařík, Local estimates for modified Riccati
 +    equation in theory of half-linear differential equation, Electronic
 +    Journal of Qualitative Theory of Differential Equations
 +    [online](http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1726)
 +2.  Robert Mařík, Coupled intervals for discrete p-degree functional,
 +    [Advances in Difference
 +    Equations](http://www.advancesindifferenceequations.com/), 2012:100
 +    doi:10.1186/1687-1847-2012-100,
 +    [online](http://www.advancesindifferenceequations.com/content/2012/1/100/abstract),
 +    IF=0.85
 +3.  Robert Mařík, Summation comparison theorems for half-linear second
 +    order difference equations on finite interval, Acta Universitatis
 +    agriculturae et silviculturae Mendelianae Brunensis : Acta of Mendel
 +    University of agriculture and forestry Brno (2011) 59, No. 7, pp
 +    245--248. ISSN 1211-8516.
 +    [online](http://www.mendelu.cz/dok_server/slozka.pl?id=51329;download=88547)
 +4.  Simona Fišnarová, Robert Mařík, On Constants in Nonoscillation
 +    Criteria for Half-Linear Differential Equations, Abstract and
 +    Applied Analysis. 2011. sv. 2011, č. 638271, s. 1--15. ISSN
 +    1085-3375.
 +    [online](http://www.hindawi.com/journals/aaa/2011/638271/), IF=1.442
 +    (2010)
 +5.  Simona Fišnarová, Robert Mařík, Half-linear ODE and modified Riccati
 +    equation: Comparison theorems, integral characterization of
 +    principal solution, [Nonlinear Analysis: Theory, Methods and
 +    Applications](http://www.elsevier.com/wps/find/journaldescription.cws_home/239/description#description),
 +    vol. 74 (2011), issue 17, pages 6427-6433 [online
 +    version](http://www.sciencedirect.com/science/article/pii/S0362546X11004445),
 +    IF=1.279 (2010)
 +6.  Ondřej Došlý, Simona Fišnarová, Robert Mařík, Comparison theorems
 +    for Riccati inequalities arising in the theory of PDE's with
 +    p-Laplacian, [Electron. J. Differential
 +    Equations](http://ejde.math.txstate.edu/), No. 53. (2011), 1-9.
 +    [online
 +    version](http://ejde.math.txstate.edu/Volumes/2011/53/abstr.html)
 +7.  Robert Mařík, A remark on connection between conjugacy of
 +    half-linear differential equation and equation with mixed
 +    nonlinearities, [Appl. Math.
 +    Lett.](http://www.elsevier.com/locate/aml) 24 (2011), 93-96,
 +    [online](http://dx.doi.org/10.1016/j.aml.2010.08.024), IF=0.978
 +8.  Simona Fišnarová, Robert Mařík, Generalized Picone and Riccati
 +    inequalities for half-linear differential operators with arbitrary
 +    elliptic matrices, [Electron. J. Differential
 +    Equations](http://ejde.math.txstate.edu/) 2010. vol. 2010, 111, p.
 +    1-13. ISSN 1072-6691.
 +    [online](http://ejde.math.txstate.edu/Volumes/2010/111/abstr.html),
 +    [Scopus](http://www.scopus.com/record/display.url?eid=2-s2.0-78049472585&origin=resultslist&sort=plf-f&src=s&sid=1UKGIH-Ux6I7A9HLuk8bBGn%3a70&sot=aut&sdt=a&sl=33&s=AU-ID%28%22Marik%2c+Robert%22+6602164820%29&relpos=0&relpos=0&searchTerm=AU-ID(\)
 +9.  Robert Mařík, Conjugacy criteria for half-linear ODE in theory of
 +    PDE with generalized p-Laplacian and mixed powers, [Nonlinear
 +    Anal.](http://www.elsevier.com/locate/na) Vol. 73 (2010), No. 2,
 +    500-509, [online](http://dx.doi.org/10.1016/j.na.2010.03.045),
 +    IF=1.487 (2009)
 +10. Robert Mařík, Ordinary differential equations in the oscillation
 +    theory of partial half-linear differential equation, [Journal of
 +    Mathematical Analysis and
 +    Applications](http://www.elsevier.com/locate/jmaa) 2008. sv. 338, č.
 +    338, s. 194--208,
 +    [online](http://dx.doi.org/10.1016/j.jmaa.2007.05.015) IF=1.046
 +    (2008)
 +11. Robert Mařík, [Lenka Přibylová](http://math.muni.cz/%7Epribylova/),
 +    *An age-structured model of cannibalism*, [Electron. J. Differential
 +    Equations](http://ejde.math.txstate.edu/), [Vol. 2006(2006), No.
 +    106,
 +    1-11](http://ejde.math.txstate.edu/Volumes/2006/106/abstr.html).
 +    [online
 +    version](http://ejde.math.txstate.edu/Volumes/2006/106/marik.pdf)
 +12. Robert Mařík, *Interval-type oscillation criteria for half-linear
 +    PDE with damping,* [Applications and Applied Mathematics: An
 +    International Journal (AAM)](http://www.pvamu.edu/pages/398.asp),
 +    Vol. 1 (2006), No 1, 1-10. [online
 +    version](http://www.pvamu.edu/pages/1214.asp)
 +13. Robert Mařík, *Discrete singular functionals*, [Arch. Math.
 +    (Brno)](http://www.emis.de/journals/AM/05-3/), Vol. 41 (2005), No.
 +    3, 339-347.
 +14. Robert Mařík, *Oscillation of the half-linear PDE in general
 +    exterior domains—the variational approach*, [Nonlinear
 +    Anal.](http://www.elsevier.com/locate/na) 60/3 (2005), 485-489.
 +    IF=0.519
 +15. Robert Mařík, *Asymptotic estimates for PDE with p-Laplacian and
 +    damping*, [Electron. J. Qual. Theory Differ.
 +    Equ.](http://www.emis.de/journals/EJQTDE/), No. 5. (2005), 1-6.
 +    [online
 +    version](http://www.math.u-szeged.hu/ejqtde/2005/200505.html)
 +16. Robert Mařík, *Integral averages and oscillation of half--linear
 +    PDE*, [Appl. Math. Comp.](http://www.elsevier.com/locate/amc), Vol.
 +    150 (2004), Issue 1, 69-87. [online
 +    version](http://www.sciencedirect.com/science/article/B6TY8-488W26T-7/2/8efd708a32a793df176aedb4490c564e)
 +17. Robert Mařík, *Riccati--type inequality and oscillation of
 +    half--linear PDE with damping*, [Electron. J. Differential
 +    Equations](http://ejde.math.txstate.edu/), Vol. 2004(2004), No. 11,
 +    1-17. [online
 +    version](http://ejde.math.txstate.edu/Volumes/2004/11/abstr.html)
 +18. Robert Mařík, *Positive solutions of inequality with p-Laplacian in
 +    exterior domains*, [Mathematica Bohemica](http://mb.math.cas.cz/),
 +    Vol. 127 (2002), No. 4, 597--604.
 +19. Robert Mařík, *Oscillation criteria for a class of nonlinear partial
 +    differential equations*, [Electron. J. Differential
 +    Equations](http://ejde.math.txstate.edu/), Vol. 2002(2002), No. 28,
 +    1--10. [online
 +    version](http://ejde.math.txstate.edu/Volumes/2002/28/abstr.html)
 +20. Robert Mařík, *Comparison theorems for half--linear second order
 +    difference equations*, [Arch. Math
 +    (Brno)](http://www.emis.de/journals/AM/index.html) 36 (2000),
 +    Proceedings of CDDE 2000 issue, 513--518. [online
 +    version](http://www.emis.de/journals/AM/00-5/index.html).
 +21. Robert Mařík, *A half--linear differential equation and
 +    corresponding variational problem*, [Nonlinear
 +    Anal.](http://www.elsevier.com/locate/na) 45/2 (2001), 203--211.
 +    [online
 +    version](http://www.sciencedirect.com/science/article/B6V0Y-430G36T-F/2/a7550ed8510a2e02b756867240785959),
 +    IF=0.406
 +22. Robert Mařík, *Focal points of half--linear second order
 +    differential equations*, [Diff. Eqs. Dyn.
 +    Syst.](http://www.dedsj.org/) vol. 8. No. 2, (2000), 111--124.
 +23. Robert Mařík, *Oscillation criteria for PDE with p-Laplacian via the
 +    Riccati technique*, [J. Math. Anal.
 +    Appl.](http://www.elsevier.com/locate/jmaa) 248 (2000), 290--308.
 +    [online
 +    version](http://www.sciencedirect.com/science/article/B6WK2-45F4YWD-82/2/942c72288bdbafef8d43d24e49a41cdc),
 +    IF=0.431
 +24. Robert Mařík, *Hartman--Wintner type theorem for PDE with
 +    p-Laplacian*, [Electron. J. Differential
 +    Equations](http://www.emis.de/journals/EJQTDE/) Proc. 6th Coll. QTDE
 +    2000, No. 18, 1--7. [online
 +    version](http://www.emis.de/journals/EJQTDE/6/618.html)
 +25. [Ondřej Došlý](http://www.math.muni.cz/%7Edosly/), Robert Mařík,
 +    *Nonexistence of the positive solutions of partial differential
 +    equations with p-Laplacian*, [Acta Math.
 +    Hungar.](http://www.kluweronline.com/issn/0236-5294/contents) 90
 +    (1-2) (2001), 89--107.IF=0.184
 +26. Robert Mařík, *Oscillation criteria for Schroedinger PDE*, [Adv.
 +    Math. Sci.
 +    Appl.](http://www.maruzen.co.jp/home-eng/inter-d-per.html#advances)
 +    No. 2, Vol. 10 (2000), 495--511.
 +27. Robert Mařík, *Nonnegativity of functionals corresponding to the
 +    second order half-linear differential equation*, [Arch. Math
 +    (Brno)](http://www.emis.de/journals/AM/index.html) 35 (1999),
 +    155--164. [online
 +    version](http://www.emis.de/journals/AM/99-2/index.html)
 +28. Robert Mařík, *On p-degree functionals with one free end point*,
 +    Proc. Int. Sci. Conf. Math. Žilina (1998), 183--188.
 +
 +Research papers accepted for publication:
 +-----------------------------------------
 +
 +Citations
 +---------
 +
 +[List of my citations (updated on 2008)](citace.pdf)
 +
 +Monograph
 +---------
 +
 +1.  *Oscillation theory of partial differential equations with
 +    p-Laplacian*, Mendel university (2008) 103 pages. Folia. ISBN
 +    978-80-7375-215-6.
 +
 +
 +Textbooks
 +---------
 +
 +1.  *Differential and difference equations (Diferenciální a diferenční
 +    rovnice)*, textbook in Czech, Mendel University Brno (2004), 79
 +    pages.
 +2.  *Differential equations and autonomous systems (Diferenciální
 +    rovnice a autonomní systémy)*, textbook in Czech, Mendel University
 +    Brno (2009).
 +
 +Electronic textbooks in English
 +-------------------------------
 +1.  Robert Mařík's
 +    [eReadings](http://user.mendelu.cz/marik/frvs/index.html) on
 +    Mathematics (in English, supported by the grant 18/2006 of
 +    [FRVŠ](http://www.frvs.cz/))
 +
 +Electronic textbooks in Czech
 +-----------------------------
 +1.  [Dynamické modely v
 +    biologii](http://user.mendelu.cz/marik/dmb/dmb.html). PDF verze pro
 +    obrazovku a další podpůrné materiály (2005-2006).
 +2.  [Matematika I. a II](http://is.muni.cz/elportal/studovna.pl).
 +    Elportál: portál Masarykovy univerzity [online] 2006. WWW:
 +    http://is.muni.cz/elportal/?class=702646. ISSN 1802-128X. Spoluautor
 +    [Lenka Přibylová](http://math.muni.cz/%7Epribylova/). (2006)
 +3.  [Matematika](http://user.mendelu.cz/marik/mat-web/mat-web.html),
 +    text přednášek pro první ročník LDF- obory krajinářství, výroba a
 +    tvorba nábytku (2004-2007).
 +4.  [Inženýrská
 +    matematika](http://user.mendelu.cz/marik/in-mat-web/in-mat-web.html),
 +    text přednášek pro čtvrtý ročník LDF- obory krajinné inženýrství
 +    (2005-2007).
 +
 +Other publications
 +------------------
 +1.  *Half-linear differential equations*, PhD. thesis, Masaryk Univ.
 +    Brno (2000), 72 pages.
 +2.  *Bessel functions*, thesis, Masaryk Univ. Brno (1997), in Czech.
 +3.  Tvorba interaktivních pdf testů pomocí programu AcroTeX. Department
 +    of Mathematics Report Series. 2005. No. 13, p. 111--114. In Czech.
 +4.  Pojďte pane, budeme si hrát (... s PDF). Mařík, Robert -
 +    Tihlaříková, Miroslava, In Proceedings of 7th International
 +    Conference APLIMAT 2008 - Part IV Open source Software in Research
 +    and Education. Bratislava: Department of Mathematics, Faculty of
 +    Mechanical Engineering, Slovak University of Technology, 2008, s.
 +    63--73.
 +5.  Vkládání JavaScriptů pdfLaTeXem prakticky. [Zpravodaj
 +    Československého sdružení uživatelů
 +    TeXu](http://bulletin.cstug.cz/). 2007. sv. 2, č. 2, s. 72--83.
 +6.  LaTeX package
 +    [jeopardy](http://www.ctan.org/tex-archive/help/Catalogue/entries/jeopardy.html).
 +7.  LaTeX package
 +    [fancytooltips](http://www.ctan.org/tex-archive/help/Catalogue/entries/fancytooltips.html).
 +8.  LaTeX package
 +    [mfpic4ode](http://www.ctan.org/tex-archive/help/Catalogue/entries/mfpic4ode.html)
 +9.  OpenSource versus proprietární software ve výuce a tvorbě výukových
 +    materiálů, Sborník 6. ročníku konference o elektronické podpoře
 +    výuky SCO 2009, s. 99--104.
 +10. Oslí okénka v PDF, [Zpravodaj Československého sdružení uživatelů
 +    TeXu](http://bulletin.cstug.cz/). 2009. sv. 19, č. 1-2, s. 7--13.
 +11. Mathematical Assistant on Web - skládanka ze svobodných
 +    matematických programů, In Otvorený softvér vo vzdelávaní, výskume a
 +    v IT riešeniach. s. 61--68.
 +    [online](http://sospreskoly.org/files/Zbornik-OSSConf09.pdf).
 +12. [Support for differential
 +    equations](http://trac.sagemath.org/sage_trac/ticket/6479) in
 +    [Sage](http://www.sagemath.org)
 +13. Matematický program Sage, Matematika - fyzika - informatika 20 No. 2
 +    (2010), 119-127.
 +
 +Conferences
 +-----------
 +1.  Equadiff 9, Brno, August 1997
 +2.  Int. Scientific Conference of Mathematics, Zilina (SL), July 1998 -
 +    *Half-linear differential equation and corresponding $p$-degree
 +    functional.*
 +3.  Workshop on Qualitative Theory of Differential Equations, Brno,
 +    September 1998 - *Half-linear differential equation and
 +    corresponding $p$-degree functional.*
 +4.  1. seminar of Center of Applied Mathematics, Plzen, May 1999 -
 +    *Oscillation criteria for Schroedinger PDE.*
 +5.  Boruvka Mathematical Symposium, Valtice, June 1999 poster -
 +    *Oscillation criteria for Schroedinger PDE.*
 +6.  6. Colloq. Qual. Theory of Diff. Eqs., Szeged (HU), August 1999 -
 +    *Oscillation criteria for Schroedinger PDE.*
 +7.  3-rd World Congress of Nonlinear Analysts - WCNA, Catania (IT), July
 +    2000. *Oscillation criteria for equations with p-Laplacian.*
 +8.  Colloqium of Differential and Difference Equations - CDDE, Brno,
 +    September 2000. *Focal points of half--linear difference equations.*
 +9.  Colloqium of Differential and Difference Equations - CDDE, Brno,
 +    September 2002. *Integral averages and oscillation of half--linear
 +    PDE.*
 +10. Equadiff 11, Bratislava, August 2005, *Riccati technique for
 +    half-linear PDE.*
 +11. Colloqium of Differential and Difference Equations - CDDE, Brno,
 +    September 2006, *An age-structured model of cannibalism*.
 +12. 8. Colloq. Qual. Theory of Diff. Eqs., Szeged (HU), June 2007 -
 +    Ordinary differential equations in the oscillation theory of partial
 +    half-linear differential equation.
 +13. Conference on Differential and Difference Equations and Applications
 +    2008 (CDDEA 2008) Strečno, Slovak Republic, June 23 - 27, 2008,
 +    *Oscillation of half-linear partial differential equation*.
 +14. [Equadiff 12](http://www.math.muni.cz/~equadiff/), Brno, July 2009,
 +    *Oscillation of PDE with p-Laplacian.*
 +15. International Conference on Difference Equations and Applications
 +    (ICDEA09) - October 19 - October 23, 2009, Estoril, Portugal.
 +16. Conference on Differential and Difference Equations and
 +    Applications, Rajecké Teplice, Slovak Republic, June 21 - 25, 2010,
 +    *Conjugacy criteria for half-linear ODE in theory of PDE with
 +    generalized p-Laplacian and mixed powers*
 +17. [Colloquium on Differential Equations and Integration
 +    Theory](http://www.math.muni.cz/~cdeit/main.php), October 14 – 17,
 +    2010, Křtiny, Czech Republic, *Picone type inequality for
 +    half-linear differential operators with anisotropic p-Laplacian*
 +18. 9. Colloq. Qual. Theory of Diff. Eqs., Szeged (HU), June 2011
 +    *Principal solutions of half-linear equation: yet another integral
 +    characterization*
 +19. International Conference on Difference Equations and Applications
 +    (ICDEA09) - July 2011, Trois Rivieres, Canada, *Half-linear
 +    difference equations and the discrete $p$-degree functional*.
 +20. Conference on Differential and Difference Equations and
 +    Applications, Terchova, Slovak Republic, June 2012
 +
 +Conferences focused on education
 +--------------------------------
 +
 +1.  Using compuers in teaching mathematics (in Czech), České Budějovice,
 +    November 2005, Využití systému LaTeX ve výuce matematiky.
 +2.  Using computers in teaching mathematics (in Czech), České
 +    Budějovice, November 2007, LaTeXem hravě.
 +3.  [Aplimat 2008](http://www.aplimat.com), February 2008, Bratislava,
 +    [Pojďte pane, budeme si hrát (... s
 +    PDF)](http://user.mendelu.cz/marik/talks/Pojdte_pane_budeme_si_hrat.pdf).
 +4.  [SCO (Sharable Content Objects) 2008](http://sco.muni.cz/2008/),
 +    June 2008, Brno, [Systém pro online výpočty v prostředí
 +    WWW](http://user.mendelu.cz/marik/talks/MAW_SCO2008.pdf)
 +5.  [Aplimat 2009](http://www.aplimat.com), February 2009, Bratislava
 +    *[Mathematical Assistant on
 +    Web](http://user.mendelu.cz/marik/talks/aplimat2009.pdf)*.
 +6.  [SCO (Sharable Content Objects) 2009](http://sco.muni.cz/2009/),
 +    June 2009, Brno, OpenSource versus proprietární software ve výuce a
 +    tvorbě výukových materiálů
 +
 +Talks on seminars
 +-----------------
 +1.  [Seminar of differential
 +    equations](http://www.math.muni.cz/%7Eseminars/initial_problems/index.html),
 +    Masaryk Univ. Brno, fall 1998 and spring 1999, *Nonnegativity of
 +    p-degree functionals* and *Oscillation properties of the partial
 +    differential equations of elliptic type*, Czech
 +2.  Mathematical Institute at Hungarian Academy of Sciences: Budapest,
 +    April 1999 -- 2-talks
 +3.  [Seminar of differential
 +    equations](http://www.math.muni.cz/%7Eseminars/initial_problems/index.html),
 +    Masaryk Univ. Brno, *Riccati transformation in the oscillation
 +    theory of PDE - radially nonsymetric criteria*, 28.04.2003, in Czech
 +4.  [Seminář katedry matematiky](http://www.ped.muni.cz/wmath/) Ped. F.
 +    MU v Brně, Tvorba interaktivních matematických kvízů (ukázky,
 +    možnosti, návody a zkušenosti s programem AcroTeX), 16.11.2005, in
 +    Czech
 +5.  [Seminar of differential
 +    equations](http://www.math.muni.cz/%7Eseminars/initial_problems/index.html),
 +    Masaryk Univ. Brno, *Oscilační kriteria pro parciální diferenciální
 +    rovnice s p-Laplaciánem*, 7.4.2008, in Czech
 +6.  [Seminář katedry matematiky](http://www.ped.muni.cz/wmath/) Ped. F.
 +    MU v Brně, Symbolické výpočty online, 22.10.2008, in Czech
 +7.  Odborný seminář z cyklu Aplikace matematických metod, Ekonomická
 +    fakulta VŠB v Ostravě, [Proprietární versus OpenSource software ve
 +    výuce
 +    matematiky](http://user.mendelu.cz/marik/talks/opensource-vsb-27-3-2009.pdf),
 +    26.3.2009, in Czech
 +
 +Presentations/prezentace
 +------------------------
 +1.  Některé mé prezentace jsou dostupné
 +    [zde](http://user.mendelu.cz/marik/talks)
 +
 +</markdown>
  
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