Přístupnostní navigace
E-application
Search Search Close
doc. RNDr.
CSc.
FEEC, UMAT – Associate professor
+420 54114 6082svobodaz@vut.cz
Send BUT message
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
*) Publications are generated once a 24 hours.