doc. RNDr.

Zdeněk Svoboda

CSc.

FEEC, UMAT – Associate professor

+420 54114 6082
svobodaz@vut.cz

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doc. RNDr. Zdeněk Svoboda, CSc.

Publications

  • 2023

    BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Exponential stability criteria for linear neutral systems with applications to neural networks of neutral type. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, vol. 360, no. 1, p. 301-326. ISSN: 0016-0032.
    Detail | WWW

  • 2022

    DIBLÍK, J.; KHUSAINOV, D.; SHATYRKO, A.; BAŠTINEC, J.; SVOBODA, Z. Absolute Stability of Neutral Systems with Lurie Type Nonlinearity. Advances in Nonlinear Analysis, 2022, vol. 11, no. 1, p. 726-740. ISSN: 2191-950X.
    Detail | WWW | Full text in the Digital Library

    BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Simple tests for uniform exponential stability of a linear delayed vector differential equation. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, vol. 8, no. 3, p. 1537-1542. ISSN: 0018-9286.
    Detail | WWW

  • 2021

    BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Uniform exponential stability of linear delayed integro-differential vector equations. J.Differetial Equations, 2021, vol. 270, no. 5, p. 573-595. ISSN: 0022-0396.
    Detail | WWW

  • 2020

    DIBLÍK, J.; SVOBODA, Z. Existence of Strictly Decreasing Positive Solutions of Linear Differential Equations of Neutral Type. Discrete and Continuous Dynamical Systems - Series S, 2020, vol. 13, no. 1, p. 67-84. ISSN: 1937-1632.
    Detail | WWW

  • 2019

    DIBLÍK, J.; SVOBODA, Z. Existence of strictly decreasing positive solutions of linear differential equations of neutral type. In AIP Conference Proceedings 2116. AIP conference proceedings. AIP, 2019. p. 310005-1 (310005-4 p.)ISBN: 9780735418547. ISSN: 0094-243X.
    Detail | WWW

    BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Exponential Stability Tests for Linear Delayed Differential Systems Deepending on All Delayes. Journal of Dynamics and Differential Equations, 2019, vol. 2019, no. 31, p. 2095-2108. ISSN: 1572-9222.
    Detail | WWW

  • 2018

    BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Exponential stability of linear delayed differential systems. APPLIED MATHEMATICS AND COMPUTATION, 2018, vol. 2018, no. 320, p. 474-484. ISSN: 0096-3003.
    Detail | WWW

    SVOBODA, Z.; DIBLÍK, J. Asymptotic Behavior of the Delayed Matrix Exponential Function. In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017). AIP conference proceedings. AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA: American Institute of Physics, 2018. p. 430006-1 (430006-4 p.)ISBN: 978-0-7354-1690-1. ISSN: 0094-243X.
    Detail | WWW

    DIBLÍK, J.; SVOBODA, Z. Asymptotic properties of delayed matrix exponential function via Lambert function. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2018, vol. 72, no. 10, p. 123-144. ISSN: 1553-524X.
    Detail | WWW

  • 2017

    SVOBODA, Z. Representation of Solutions of Linear Differential Systems of the Second Order with Constant Delays. Journal of Mathematical Sciences, 2017, vol. 222, no. 3, p. 345-358. ISSN: 1072-3374.
    Detail

    SVOBODA, Z.; DIBLÍK, J. The solutions of second-order nonhomogenuous linear differential systems with constant delays. In 16th Conference on Applied Mathematics, APLIMAT 2017; Bratislava; Slovakia; 31 January 2017 through 2 February 2017; Code 131656. Bratislava Slovak republic: Slovak University of Technology in Bratislava, 2017. p. 461-466. ISBN: 9788022746502.
    Detail

    SVOBODA, Z. Asymptotic unboundedness of the norms of delayed matrix sine and cosine. Electronic Journal of Qualitative Theory of Differential Equations, 2017, no. 89, p. 1-15. ISSN: 1417-3875.
    Detail

    DIBLÍK, J.; SVOBODA, Z. The solutions of second-order linear differential systems with constant delays. In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016). AIP conference proceedings. Rhodos: American Institute of Physics, 2017. p. 480006-1 (480006-4 p.)ISBN: 978-0-7354-1538-6. ISSN: 0094-243X.
    Detail | WWW

  • 2016

    BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. New exponential stability conditions for linear delayed systems of differential equations. Electronic Journal of Qualitative Theory of Differential Equations, 2016, vol. 2016, no. 5, p. 1-18. ISSN: 1417-3875.
    Detail | WWW

    SVOBODA, Z. REPRESENTATION OF SOLUTIONS OF LINEAR DIFFERENTIAL SYSTEMS OF SECOND- ORDER WITH CONSTANT DELAYS. Nonlinear Oscillations, 2016, vol. 19, no. 1, p. 129-141. ISSN: 1562-3076.
    Detail | WWW

  • 2015

    DEMCHENKO, H.; SVOBODA, Z.; VINCÚROVÁ, G. REPRESENTATION OF SOLUTIONS OF LINEAR DIFFERENTIAL SYSTEMS OF SECOND- ORDER WITH CONSTANT DELAYS, BY DELAYED MATRIX EXPONENTIAL. 2015. p. 32-32.
    Detail

    BEREZANSKY, L.; DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Simple uniform exponential stability conditions for a system of linear delay differential equations. APPLIED MATHEMATICS AND COMPUTATION, 2015, vol. 2015, no. 250, p. 605-614. ISSN: 0096- 3003.
    Detail | WWW

  • 2014

    SVOBODA, Z.; VÍTOVEC, J. Matematika 2 (Elektrotechnika, elektronika, komunikační a řídící technika). Brno: Vysoké učení technické v Brně, 2014. p. 1-184.
    Detail

  • 2013

    SVOBODA, Z. Asymptotic properties of one differential equation with unbounded delay. Mathematica Bohemica, 2013, vol. 2012, no. 2, p. 239-248. ISSN: 0862- 7959.
    Detail

  • 2012

    SVOBODA, Z. Asymptotic properties of delayed matrix functions. In Modelling, Control and Stability MCS- 2012. Krym, Simferopol: 2012. p. 40-42. ISBN: 978-966-491-327- 7.
    Detail

    SVOBODA, Z.; DIBLÍK, J.; KHUSAINOV, D. SOME PROPERTIES OF SPECIAL DELAYED MATRIX FUNCTIONS IN THEORY OF SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS AND WITH SINGLE DELAY. In 11- th Intenational conference APLIMAT 12. Bratislava: STU, 2012. p. 205-212. ISBN: 978-80-89313-58- 7.
    Detail

    DIBLÍK, J.; KHUSAINOV, D.; KUKHARENKO, O.; SVOBODA, Z. Solution of the first boundary-value problem for a system of autonomous second- order linear partial differential equations of parabolic type with a single delay. Abstract and Applied Analysis, 2012, vol. 2012, no. Article ID 21904, p. 1-27. ISSN: 1085- 3375.
    Detail

    KHAN, Y.; SVOBODA, Z.; ŠMARDA, Z. Solving certain classes of Lane-Emden type equations using differential transformation method. Advances in Difference Equations, 2012, vol. 2012, no. 1, p. 1-13. ISSN: 1687-1847.
    Detail | WWW | Full text in the Digital Library

  • 2011

    BAŠTINEC, J.; SVOBODA, Z. The course "Stochastic Processes" on FEEC BUT. In 7. konference o matematice a fyzice na vysokých školách technických s mezinárodní účastí. 2011. p. 39-47. ISBN: 978-80-7231-815- 5.
    Detail

    SVOBODA, Z. Asymptotic properties of system of the delayed linear differential equations of special type. In Dynamical System Modelling and Stability Investigation Abstracts of Conference Reports. Kyjev: 2011. p. 156-157. ISBN: 966-76-52-00- 9.
    Detail

    DIBLÍK, J.; ŠMARDA, Z.; SVOBODA, Z.; KHUSAINOV, D. Instable trivial solution of autonomous differential systems with quadratic right- hand sides in a cone. Abstract and Applied Analysis, 2011, vol. 2011, no. Article ID 15491, p. 1-23. ISSN: 1085- 3375.
    Detail

  • 2010

    SVOBODA, Z. The system of linnear differential equations with constsnt coefficients and constant delay. In XXVIII International Collquium on the Management of Educational Process Proceedings. Brno: University of Defence Faculty of Economics and Management, 2010. p. 247-251. ISBN: 978-80-7231-733- 2.
    Detail

    SVOBODA, Z. Asymptotic properties of delayed exponential of matrix. Journal of Applied Mathematics, 2010, vol. 2010, no. III, p. 167-172. ISSN: 1337- 6365.
    Detail

  • 2009

    CHVALINA, J.; SVOBODA, Z. Sandwich semigroups of solutions of certain functional equations and hyperstuctures determined by sandwiches of functions. Journal of Applied Mathematics, 2009, vol. II(2009), no. 1, p. 35-43. ISSN: 1337- 6365.
    Detail

    DIBLÍK, J.; ŠMARDA, Z.; SVOBODA, Z. Retract principle for neutral functional differential equations. Nonlinear Analysis, Theory, Methods and Applications, 2009, vol. 2009, no. 71, p. e1393 (e1400 p.)ISSN: 0362- 546X.
    Detail

    CHVALINA, J.; SVOBODA, Z. Sandwich semigroups of solutions of certain functional equations and hyperstuctures determined by sandwiches of functions. In APLIMAT 2009. Bratislava: STU Bratislava, 2009. p. 59-66. ISBN: 978-80-89313-31- 0.
    Detail

  • 2008

    CHVALINA, J.; SVOBODA, Z. O řešení systému jistých centralizátorových funkcionálních rovnic s pořádkovými isomorfismy intervalů v roli jader. In 5th Didactic Conference in Žilina with international participation, CD ROM. Žilina: FPV ŽU, 2008. p. 1-6. ISBN: 978-80-8070-863- 4.
    Detail

    DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Explicit criteria for the existence of positive solutions for a scalar differential equation with variable delay in the critical case. 2008, p. 138-138.
    Detail

    DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Explicit Criteria for Existence of Positive Solutions for a Scalar Differential Equations with Variable Delay in Critical Case.IF=0,72. Computers and Mathematics with Applications, 2008, vol. 56(2008), no. 1, p. 556-564. ISSN: 0898- 1221.
    Detail

  • 2007

    SVOBODA, Z. Some properties of space of solutions of one delayed differential equation. In XXVth International Colloquium on the Management of Educational Process. Brno: UNOB, 2007. p. 1-5. ISBN: 978-80-7231-228- 3.
    Detail

    SVOBODA, Z.; SCHWARZ, R.; VETCHÝ, V. Bakalářský kurz matematiky Materiály pro samostatné studium. In XXV- th International Colloquium on the Management of Educationasl Process. Brno: UNOB, 2007. p. 1-4. ISBN: 978-80-7231-228- 3.
    Detail

    SVOBODA, Z. Positive solutions of p- type retarded functional linear differential equations. In Proceedings of Equadiff-11 2005. Bratislava: Komenského univerzita, 2007. p. 475-484.
    Detail

    SVOBODA, Z. Asymptotic properties of one differential equation with unbounded delay. In 6. Matematický workshop s mezinárodní účastí. Brno: FAST VUT, 2007. p. 1-4. ISBN: 80-214-2741- 8.
    Detail

    SVOBODA, Z. Asymptotic estimate of unbounded solutions of one retarded functional differential equation. In Sborník příspěvků 5. konference o matematice a fyzice ma vysokých školách technických s mezinárodní účastí. Brno: UNOB Brno, 2007. p. 351-356. ISBN: 978-80-7231-274- 0.
    Detail

    CHVALINA, J.; SVOBODA, Z.; NOVÁK, M. Matematika 2. Brno: FEKT VUT, 2007. p. 1-148.
    Detail

    DIBLÍK, J.; SVOBODA, Z.; ŠMARDA, Z. Explicit Criteria for the Existence of Positive Solutions for one Scalar Differential Equation with Variable Delay in the Critical Case. In Dynamical System, Modelling and Stability Investigation. Kyiv, Ukraine: Kyiv State University, 2007. p. 136-137. ISBN: 966-7652-00- 9.
    Detail

    DIBLÍK, J.; SVOBODA, Z. Existence of positive solutions of one linear differential equations with delay. In ICSC- Fifth International Conference on Soft Computing Applied in Computer and Economic Environments. Kunovice: EPI Kunovice, 2007. p. 103 ( p.)ISBN: 80-7314-108- 6.
    Detail

  • 2006

    DIBLÍK, J.; SVOBODA, Z. Using the Wazewski's Topological Method for Functional Differential Equations with Unbounded Delay. In 5. Matematický workshop. Brno: FAST VUT, 2006. p. 39 ( p.)ISBN: 80-214-3282- 9.
    Detail

    Zdeněk Svoboda. Sebekontrola při studiu vysokoškolské matematiky zejména linearní algebry. In XXIV International Colloquium on the Acquisition Process Management. Brno: Univerzita obrany Fakulta ekonomiky a mangementu, 2006. p. 1 ( p.)ISBN: 80-7231-139- 5.
    Detail

    DIBLÍK, J.; SVOBODA, Z. Positive solutions of p- type retarded functional differential equations. Nonlinear Analysis, Theory, Methods and Applications, 2006, vol. 64 (2006), no. 1, p. 1831-1848. ISSN: 0362- 546X.
    Detail

    DIBLÍK, J.; SVOBODA, Z. The System of p-Type Retarded Functional Differential Equation and Existence of Positive Solutions. XXIV International Colloquium on the Acquisition Process Management. Brno Česká republika: Univerzita obranyFakulta ekonomiky a mangementu, 2006. p. 67 ( p.)ISBN: 80-7231-139- 5.
    Detail

    DIBLÍK, J.; SVOBODA, Z. The System of p-Type Retarded Functional Differential Equation and Existence of Positive Solutions. In XXIV International Colloquium on the Acquisition Process Management. Brno: Univerzita obrany Fakulta ekonomiky a mangementu, 2006. p. 1-7. ISBN: 80-7231-139- 5.
    Detail

    Josef Diblík, Zdeněk Svoboda. The System of p-Type Retarded Functional Differential Equation and Existence of Positive Solutions. In XXIV International Colloquium of the Acquisition Process Management, CD- ROM. Brno: UNOB Brno, 2006. p. 1 ( p.)ISBN: 80-7231-139- 5.
    Detail

    DIBLÍK, J.; SVOBODA, Z. Existence of Positive Solutions for Retarded Functional Differential Equations with Unbounded Delay and Finite Memory. In Proceedings of ICSC 2006 (Fourth International Conference on Soft Computing Applied in Computer and Economic Environments). Kunovice: European Polytechnical Institute Kunovice, 2006. p. 169-172. ISBN: 80-7314-084- 5.
    Detail

    Svoboda Zdeněk. Remark on monotone solutions of one differential equation with constant delay. In Proceedings of 5th interantional coference Aplimat. Bratislava: Faculty of Mechanical Engineering Slovak University of Technology in Bratislava, 2006. p. 335-340. ISBN: 80-967305-5- X.
    Detail

  • 2005

    Svoboda Zdeněk. O řešení jedné rovnice pomocí řad. In Sborník ze 14. semináře Moderní matematické metody v inženýrství,VŠB - TECHNICKÁ UNIVERZITA OSTRAVA. Ediční středisko VŠB – TUO, 2005. p. 189 ( p.)ISBN: 80-248-0951- 6.
    Detail

    Svoboda Zdeněk. Remark on Solution of One Retarded Functional Differential Equation. In 4. Mathematical Workshop. Brno: FAST VUT v Brně, 2005. p. 95- 96 ( p.)ISBN: 80-214-2998- 4.
    Detail

    DIBLÍK, J.; SVOBODA, Z. Remark on positive solutions of retarded functional differential equations. In 4. konference o matematice a fyzice na vysokých školách technických s mezinárodní účastí. Brno: Universita obrany Brno, 2005. p. 55 ( p.)ISBN: 80-85960-91- 5.
    Detail

    DIBLÍK, J.; SVOBODA, Z. Positive solutions of retarded functional differential equations. Nonlinear Analysis, Theory, Methods and Applications, 2005, vol. 63(2005), no. 11, p. 813-821. ISSN: 0362- 546X.
    Detail

  • 2004

    DIBLÍK, J.; SVOBODA, Z. A remark on positive solutions of retarded functional differential equations. In 3. matematický workshop. Brno: Fakulta stavebni VUT v Brně, 2004. p. 37 ( p.)ISBN: 80-214-2741- 8.
    Detail

    DIBLÍK, J.; SVOBODA, Z. Remark on positive solutions of retarded functional differential equations. In 3. matematický workshop, Sborník, CD ROM. Brno: Fakulta stavební VUT v Brně, 2004. p. 1 ( p.)ISBN: 80-214-2741- 8.
    Detail

    Josef Diblík, Zdeněk Svoboda. Retract Method for p- type Neutral Functional Diferential equations. In XXII. International Colloquium on Education Process. Vyškov: VVŠ PV, 2004. p. 35 ( p.)ISBN: 80-7231-116- 6.
    Detail

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