Project detail

Dynamika systémů se zaměřením i na algebraickou a topologickou strukturu.

Duration: 01.01.2017 — 31.12.2019

On the project

Výzkum plánujeme zaměřit na tři oblasti: 1) Analýza diskrétních a hybridních systémů se zaměřením na kvalitativní vlastnosti řešení včetně numerických algoritmů řešení. 2) Topologické metody a vlastnosti v matematických informačních a kauzálních strukturách. 3) Zkoumání obecných vlastností hyperstruktur vytvářených z jednoznačných uspořádaných pologrup.

Mark

FEKT-S-17-4225

Default language

Czech

People responsible

Šmarda Zdeněk, doc. RNDr., CSc.
- principal person responsible (2017-01-01 - 2019-12-31)
Baštinec Jaromír, doc. RNDr., CSc.
- fellow researcher (2017-01-01 - 2019-12-31)
Demchenko Hanna, Mgr., Ph.D.
- fellow researcher (2017-01-01 - 2019-12-31)
Diblík Josef, prof. RNDr., DrSc.
- fellow researcher (2017-01-01 - 2019-12-31)
Mencáková Kristýna, Mgr.
- fellow researcher (2017-01-01 - 2019-12-31)
Novák Michal, doc. RNDr., Ph.D.
- fellow researcher (2017-01-01 - 2019-12-31)
Příborský Jan, Ing.
- fellow researcher (2017-01-01 - 2019-12-31)
Smetana Bedřich, RNDr.
- fellow researcher (2017-01-01 - 2019-12-31)
Staněk David, Mgr.
- fellow researcher (2017-01-01 - 2019-12-31)
Svoboda Zdeněk, doc. RNDr., CSc.
- fellow researcher (2017-01-01 - 2019-12-31)
Šafařík Jan, Mgr. et Mgr., Ph.D.
- fellow researcher (2017-01-01 - 2019-12-31)

Units

Department of Mathematics
- (2017-01-01 - 2019-12-31)
Faculty of Electrical Engineering and Communication
- (2017-01-01 - 2019-12-31)

Funding resources

Brno University of Technology - Vnitřní projekty VUT

- whole funder (2017-01-01 - 2019-12-31)

Results

STANĚK, D. Powers of certain automaton and created approximation space. In Proceedings of the 23nd Conference STUDENT EEICT 2017. Brno: Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních technologií, 2017. p. 660-664. ISBN: 978-80-214-5496-5.
Detail

ŠAFAŘÍK, J. Weakly Delayed systems in $R^3$. In Proceedings of the 23nd Conference STUDENT EEICT 2017. Brno: Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních technologií, 2017. p. 604-608. ISBN: 978-80-214-5496-5.
Detail

MENCÁKOVÁ, K. Representation of solutions of a higher-order linear discrete equation. In Proceeding of the 23rd Conference STUDENT EEICT 2017. 2017. p. 599-603. ISBN: 978-80-214-5496-5.
Detail

SMETANA, B.; CHVALINA, J. COMPATIBLE RELATIONS ON STATE SETS OF QUASI-AUTOMATA. In Proceedings, 16th Conference on Aplied Mathematics Aplimat 2017. 1. Bratislava: Slovak University of Technology in Bratislava, Faculty of Mechanical Engineering, 2017. p. 359-368. ISBN: 978-80-227-4650-2.
Detail

SMETANA, B. NEURAL NETWORK FOR TESTING. In Proceedings of the 23nd Conference STUDENT EEICT 2017. 1. Brno: Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních, 2017. p. 675-679. ISBN: 978-80-214-5496-5.
Detail

SMETANA, B. Transformation in the Context of Neural Networks. In Matematika, informační technologie a aplikované vědy (MITAV 2017). Brno: Univerzita obrany v Brně, Fakulta vojenských technologií, 2017. p. 58-63. ISBN: 978-80-7231-417-1.
Detail

SMETANA, B. Vector Spaces in the Context of Neural Networks. In XXXV. International Colloquium on the Management of Educational Process. 1. Brno: 2017. p. 1-4. ISBN: 978-80-7231-419-5.
Detail

DIBLÍK, J.; HALFAROVÁ, H.; ŠAFAŘÍK, J. Conditional Stability and Asymptotic Behavior of Solutions of Weakly Delayed Linear Discrete Systems in R^2. Discrete Dynamics in Nature and Society, 2017, vol. 2017, no. 2017, p. 1-10. ISSN: 1607-887X.
Detail

DIBLÍK, J.; MENCÁKOVÁ, K. Representation of solutions of higher-order linear discrete systems. In Matematika, informační technologie a aplikované vědy. Brno: Univerzita obrany, 2017. p. 1-9. ISBN: 978-80-7231-417-1.
Detail

BAŠTINEC, J.; DIBLÍK, J. Positive solutions of a discrete equation. In Matematika, informační technologie a aplikované vědy. Brno: Univerzita obrany, 2017. p. 1-13. ISBN: 978-80-7231-417-1.
Detail

FUSEK, M. On testing reduction of a left-censored Weibull distribution to an exponential submodel. Mendel Journal series, 2017, vol. 23, no. 1, p. 179-184. ISSN: 1803-3814.
Detail

ŠAFAŘÍK, J.; DIBLÍK, J. Solution of weakly delayed systems in the case of complex conjugate roots of characteristic equation. In MITAV 2017 (Matematika, informační technologie a aplikované vědy). Brno: Univerzita obrany v Brně, 2017. p. 1-8. ISBN: 978-80-7231-417-1.
Detail

BAŠTINEC, J.; DIBLÍK, J.; VÁŽANOVÁ, G. Asymptotic behaviour of positive solutions of a one class of discrete delayed equation. In XVIII Intermational Conference Dynamical System Modelling and Stability Invesstigation. Kyjev, Ukrajina: Taras Shevchenko National University of Kyiv, 2017. p. 149-150. ISBN: 978-617-571-127-9.
Detail

DIBLÍK, J.; VÁŽANOVÁ, G. Positive solutions of a differential equation \dot y(t)=-c(t)y(t-\tau(t,y(t))). Abstracts CDDEA 2017. Poznan: Publishing House of Poznan University of Technology, 2017. p. 17-17. ISBN: 978-83-7775-466-5.
Detail

ŠMARDA, Z. Semi-analytical approach to solving partial differential equations. In 16th Conference on Applied Mathematics (APLIMAT 2017). Bratislava, Slovak Republic: 2017. p. 1447-1452. ISBN: 978-1-5108-3698-3.
Detail

VÍTOVEC, J. Asymptotic properties of solutions of nonlinear systems of dynamic equations on time scales. In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS. AIP conference proceedings. ICNAAM 2016. USA, New York, Melville: American Institute of Physics, 2017. p. 1-4. ISBN: 978-0-7354-1538-6. ISSN: 0094-243X.
Detail

DIBLÍK, J.; VÁŽANOVÁ, G. Asymptotic behavior of positive solutions of differential equations with state delay. 6th Ariel Conference on Functional Differential Equations and Applications. Ariel, Israel: Ariel University, 2017. p. 14-14.
Detail

KOVÁR, M.; PŘÍBORSKÝ, J. Some properties of causal structures. In Aplimat 2017, proceedings. Bratislava: STU Bratislava, 2017. p. 888-892. ISBN: 978-80-227-4650-2.
Detail

STEVIČ, S.; IRIČANIN, B.; ŠMARDA, Z. NOTE ON BOUNDED SOLUTIONS TO NONHOMOGENOUS LINEAR DIFFERENCE EQUATIONS. Electronic Journal of Differential Equations, 2017, vol. 2017, no. 286, p. 1-22. ISSN: 1072-6691.
Detail

STANĚK, D.; CHVALINA, J. Isomorphic approximations, closure spaces and comparable homeomorphic topologies. In MITAV 2017 (Matematika, informační technologie a aplikované vědy). Brno: Univerzita obrany v Brně, 2017. p. 1-13. ISBN: 978-80-7231-417-1.
Detail

STANĚK, D.; CHVALINA, J. Transformation of certain quasi-multiautomata. In XXXV. International Colloquium on the Management of Educational Process. 1. Brno: Univerzita obrany, 2017. p. 1-7. ISBN: 978-80-7231-419-5.
Detail

NOVÁK, M.; CRISTEA, I.; KŘEHLÍK, Š. A class of hyperlattices induced by quasi-ordered semigroups. In 16th Conference on Applied Mathematics (APLIMAT 2017), Proceedings. Bratislava: Slovak University of Technology in Bratislava, 2017. p. 1124-1135. ISBN: 9788022746502.
Detail

ŠAFAŘÍK, J.; DIBLÍK, J. Linear Difference Weakly Delayed Systems, the Case of Complex Conjugate Eigenvalues of the Matrix of Non-Delayed Terms. In MITAV 2017 (Matematika, informační technologie a aplikované vědy), Post-conference proceedings of extended versions of selected papers. Brno: Univerzita obrany v Brně, 2017. p. 235-247. ISBN: 978-80-7582-026-6.
Detail

DEMCHENKO, H.; DIBLÍK, J. Optimality conditions for a linear differential system with a single delay. In Matematika, informační technologie a aplikované vědy (MITAV 2017). Brno: Univerzita obrany v Brně, 2017. p. 1-7. ISBN: 978-80-7231-417-1.
Detail

DEMCHENKO, H. OPTIMALITY CONDITIONS FOR SCALAR LINEAR DIFFERENTIAL SYSTEM. In Proceedings of the 23nd Conference STUDENT EEICT 2017. Brno: Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních technologií, 2017. p. 629-633. ISBN: 978-80-214-5496-5.
Detail

DEMCHENKO, H.; DIBLÍK, J. A PROBLEM OF FUNCTIONAL MINIMIZING FOR SINGLE DELAYED DIFFERENTIAL SYSTEM. In Mathematics, Information Technologies and Applied Sciences 2017. Brno: University of Defence, 2017. p. 55-62. ISBN: 978-80-7582-026-6.
Detail

STEVIČ, S.; IRIČANIN, B.; ŠMARDA, Z. Boundary Value Problems for Some Important Classes of Recurrent Relations with Two Independent Variables. Symmetry, 2017, vol. 9, no. 12, p. 1-16. ISSN: 2073-8994.
Detail

BAŠTINEC, J.; DIBLÍK, J. Two classes of positive solutions of a discrete equation. In MITAV 2017 (Matematika, informační technologie a aplikované vědy), Post-conference proceedings of extended versions of selected papers. 2017. p. 21-32. ISBN: 978-80-7582-026-6.
Detail

ŠAFAŘÍK, J.; SLABĚŇÁKOVÁ, J.; SIVČÁK, J. Výuka deskriptivní geometrie na Stavební fakultě VUT a nové studijní materiály vytvářené v dynamickém systému GeoGebra. In Proceedings of the Slovak-Czech Conference on Geometry and Graphics 2017. Bratislava: Slovak Society for Geometry and Graphics / Czech Society for Geometry and Graphics, 2017. s. 153-162. ISBN: 978-80-89597-78-9.
Detail

STEVIČ, S.; IRIČANIN, B.; ŠMARDA, Z. On a Solvable Class of Product-type Systems of Difference Equations. FILOMAT, 2017, vol. 31, no. 19, p. 6113-6129. ISSN: 0354-5180.
Detail

NOVÁK, M. EL-semihypergroups in which the quasi-ordering is not antisymmetric. In Mathematics, Information Technologies and Applied Sciences 2017: post-conference proceedings of extended versions of selected papers. Brno: University of Defence, 2017. p. 183-192. ISBN: 978-80-7582-026-6.
Detail

MENCÁKOVÁ, K.; DIBLÍK, J. Solving a higher-order linear discrete systems. In Mathematics, InformationTechnologies and Applied Sciences 2017. Brno: Univerzita obrany, Brno, 2017. p. 77-91. ISBN: 978-80-7582-026-6.
Detail

BAŠTINEC, J.; PISKOŘOVÁ, Z.; LABOUNEK, R. IMPROVING THE SENSITIVITY OF TRACTOGRAPHY USING MICROSTRUCTURE MODELING AND PSEUDO-INVERSION. In Aplimat 2018. Bratislava: STU Bratislava, 2018. p. 832-839. ISBN: 978-80-227-4765-3.
Detail

BORDBAR, H.; CRISTEA, I.; NOVÁK, M.; JUN, Y. Properties of reduced meet ideals in lower BCK-semilattices. In Proceedings, 17th Conference on Applied Mathematics – APLIMAT 2018. Bratislava: SPEKTRUM STU, 2018. p. 97-109. ISBN: 978-80-227-4765-3.
Detail

VÁŽANOVÁ, G. SEMI-GLOBAL SOLUTIONS TO MIXED-TYPE FUNCTIONAL DIFFERENTIAL EQUATIONS. In Proceedings of the 24th Conference STUDENT EEICT 2018. Brno: Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních, 2018. p. 498-502. ISBN: 978-80-214-5614-3.
Detail

BAŠTINEC, J.; PISKOŘOVÁ, Z. IMPROVING THE SENSITIVITY OF THE TRACTOGRAPHY USING MICROSTRUCTURE MODELING. In Matematika, informatika a aplikované vědy. Brno: Univerzita obrany, 2018. p. 1-6. ISBN: 978-80-7582-040-2.
Detail

STANĚK, D.; CHVALINA, J. Quasi-multiautomata created by set-coverings and by structured power-sets. In Matematika, informační technologie a aplikované vědy. Brno: Univerzita obrany v Brně, 2018. p. 1-10. ISBN: 978-80-7582-040-2.
Detail

STANĚK, D. A Multistructure Created by Coverings of a Set. In Proceedings of the 24th Conference STUDENT EEICT 2017. Brno: Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních technologií, 2018. p. 523-527. ISBN: 978-80-214-5614-3.
Detail

SMETANA, B.; CHVALINA, J. GROUPS AND HYPERGROUPS OF ARTIFICIAL NEURONS. In Proceedings, 17th Conference on Applied Mathematics – APLIMAT 2018. 1. Bratislava: Slovak University of Technology in Bratislava, Faculty of Mechanical Engineering, 2018. p. 232-243. ISBN: 978-80-227-4765-3.
Detail

SMETANA, B. Neural Network in Pattern Recognition. In Matematika, informační technologie a aplikované vědy (MITAV 2018). Brno: 2018. p. 1-10. ISBN: 978-80-7582-040-2.
Detail

VÁŽANOVÁ, G.; DIBLÍK, J. Global Solutions to Mixed-Type Functional Differential Equations. In Matematika, informační technologie a aplikované vědy. 2018. p. 1-5. ISBN: 978-80-7582-040-2.
Detail

SMETANA, B.; CHVALINA, J. Algebraic Spaces and Set Decompositions. Ratio Mathematica, 2018, no. 34, p. 67-76. ISSN: 1592-7415.
Detail

NOVÁK, M.; OVALIADIS, K.; KŘEHLÍK, Š. A hyperstructure model of underwater wireless sensor network (UWSN) design. In International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2017). AIP conference proceedings. 1978. Thessaloniki, Greece: American Institute of Physics, 2018. p. 340006-1 (340006-4 p.)ISBN: 978-0-7354-1690-1. ISSN: 0094-243X.
Detail

MENCÁKOVÁ, K.; DIBLÍK, J. Linear discrete systems of higher-order and conditions of their relative controllability. In Matematika, informační technologie a aplikované vědy. Brno: Univerzita obrany v Brně, 2018. p. 1-8. ISBN: 978-80-7582-040-2.
Detail

DIBLÍK, J.; DEMCHENKO, H.; BAŠTINEC, J.; KHUSAINOV, D. Exponential Stability of Linear Discrete Systems with Multiple Delays. Discrete Dynamics in Nature and Society, 2018, vol. 2018, no. 2018, p. 1-7. ISSN: 1607-887X.
Detail

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

STEVIČ, S.; IRIČANIN, B.; ŠMARDA, Z. Product-type System of Difference Equations with Multiplicative Coefficients Solvable in Closed Form. Journal of Computational Analysis and Applications, 2018, vol. 24, no. 6, p. 1088-1101. ISSN: 1572-9206.
Detail

LABOUNEK, R.; VALOŠEK, J.; ZIMOLKA, J.; PISKOŘOVÁ, Z.; HORÁK, T.; SVÁTKOVÁ, A.; BEDNAŘÍK, P.; HOK, P.; VOJTÍŠEK, L.; HLUŠTÍK, P.; BEDNAŘÍK, J.; LENGLET, C. Fast In Vivo High-Resolution Diffusion MRI of the Human Cervical Spinal Cord Microstructure. In World Congress on Medical Physics and Biomedical Engineering 2018. IFMBE PROCEEDINGS. Springer, Singapore, 2019. p. 3-7. ISBN: 978-981-10-9034-9. ISSN: 1680-0737.
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NOVÁK, M.; KŘEHLÍK, Š. EL-hyperstructures revisited. SOFT COMPUTING, 2018, vol. 2018, no. 21, p. 7269-7680. ISSN: 1432-7643.
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SHATYRKO, A.; DIBLÍK, J.; KHUSAINOV, D.; BAŠTINEC, J. Сходимость процессов нейродимамики в модели Хопфилда. Artifical Intelligence, 2017, roč. 77-78, č. 3-4, s. 139-147. ISSN: 1561-5359.
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DIBLÍK, J.; GALEWSKI, M.; KONIORCZYK, M.; SCHMEIDEL, E. An application of a diffeomorphism theorem to Volterra integral operator. Differential and Integral Equations, 2018, vol. 31, no. 7-8, p. 621-642. ISSN: 0893-4983.
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DIBLÍK, J.; MEDINA, R. Dominant and subdominant positive solutions to generalized Dickman equation, Applied Mathematics and Computations. APPLIED MATHEMATICS AND COMPUTATION, 2018, vol. 2018, no. 320, p. 169-186. ISSN: 0096-3003.
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RŮŽIČKOVÁ, M.; DIBLÍK, J.; VÁŽANOVÁ, G. Mathematical modeling of the IV-administered drug concentration level. 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. 430011-1 (4300011-4 p.)ISBN: 978-0-7354-1690-1. ISSN: 0094-243X.
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KHUSAINOV, D.; FEDOROVA, K.; DIBLÍK, J.; BAŠTINEC, J. About one mathematical model of dynamics of free competition market. Visnik Kiivskogo nacionalnogo universitetu imeni Tarasa Shevchenko, Kibernetika, 2018, vol. 17, no. 1, p. 44-53. ISSN: 1728-3817.
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NOVÁK, M. Ordering in the Algebraic Hyperstructure Theory: Some Examples with a Potential for Applications in Social Sciences. In Models and Theories in Social Systems. Studies in Systems, Decision and Control. Cham, Switzerland: Springer, 2018. p. 535-551. ISBN: 978-3-030-00083-7.
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NOVÁK, M.; KŘEHLÍK, Š.; CRISTEA, I. Cyclicity in EL-hypergroups. Symmetry, 2018, vol. 10, no. 11, p. 1-13. ISSN: 2073-8994.
Detail

STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. Note on the bilinear difference equation with a delay. Mathematical Methods in the Applied Sciences, 2018, vol. 41, no. 18, p. 9349-9360. ISSN: 1099-1476.
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STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. Representation of solutions of a solvable nonlinear difference equation of second order. Electronic Journal of Qualitative Theory of Differential Equations, 2018, vol. 2018, no. 95, p. 1-18. ISSN: 1417-3875.
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REBENDA, J. An application of Bell polynomials in numerical solving of nonlinear differential equations. In 17th CONFERENCE ON APPLIED MATHEMATICS APLIMAT 2018 PROCEEDINGS. Bratislava: Spektrum STU, 2018. p. 891-900. ISBN: 978-80-227-4765-3.
Detail

VÁŽANOVÁ, G.; DIBLÍK, J. Global solutions to mixed-type nonlinear functional differential equations. In Mathematics, Information Technologies and Applied Sciences 2018 post-conference proceedings of extended versions of selected papers. Brno: 2018. p. 44-54. ISBN: 978-80-7582-065-5.
Detail

BAŠTINEC, J.; KHUSAINOV, D.; FEDOROVA, K.; DIBLÍK, J. ABOUT ONE MATEMATICAL MODEL OF MARKET DYNAMICS WITH DELHITING. In Matematika, informační technologie a aplikovaná matematika. Brno: Universita obrany v Brně, 2018. p. 1-7. ISBN: 978-80-7582-040-2.
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BAŠTINEC, J.; DIBLÍK, J.; KHUSAINOV, D.; FEDOROVA, K. About one matematical model of market dynamics with time-delay. In Mathematics, Information Technologies and Applied Sciences 2018, post-conference proceedings of extended versions of selected papers. Brno: Univerzita obrany v Brn2, 2018. p. 89-95. ISBN: 978-80-7582-065-5.
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MENCÁKOVÁ, K. Studijní materiály k předmětu Konstruktivní geometrie. In Proceedings of the Czech-slovak conference on geometry and graphics 2018. Brno: Vzsoké učení technické v Brně, 2018. s. 153-162. ISBN: 978-80-214-5652-5.
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VÍTOVEC, J. Risk Analysis of Apparatus, Devices, Systems and Machines Failure. In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS. AIP conference proceedings. ICNAAM 2017. USA, New York, Melville: American Institute of Physics, 2018. p. 1-4. ISBN: 978-0-7354-1690-1. ISSN: 0094-243X.
Detail

NOVÁK, M.; CRISTEA, I. Composition in EL-hyperstructures. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2019, vol. 48, no. 1, p. 45-58. ISSN: 1303-5010.
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ŠMARDA, Z. Numerical Solving Linear Systems of Stiff Delay Differential Equations with Constant Delays. Advances in Intelligent Systems and Computing, 2019, vol. 2019, no. 837, p. 299-310. ISSN: 2194-5357.
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SMETANA, B.; CHVALINA, J. Models of Iterated Artificial Neurons. In 18th CONFERENCE ON APPLIED MATHEMATICS APLIMAT 2019 PROCEEDINGS. Bratislava: Slovak University of Technology in Bratislava, Faculty of Mechanical Engineering, 2019. p. 203-2012. ISBN: 978-80-227-4884-1.
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NOVÁK, M.; KŘEHLÍK, Š.; OVALIADIS, K. Elements of Hyperstructure Theory in UWSN Design and Data Aggregation. Symmetry, 2019, vol. 11, no. 6, p. 1-16. ISSN: 2073-8994.
Detail

BAŠTINEC, J.; DIBLÍK, J.; VÁŽANOVÁ, G. Global solutions to advance-delay functional differential equations. In Dynamical systems, modelling and stability investigation. Kyjev, Ukrajina: Taras Shevchenko National University of Kyiv, Ukraine, 2019. p. 29-30. ISBN: 978-617-571-164-4.
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STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. On some classes of solvable systems of difference equations. Advances in Difference Equations, 2019, vol. 2019, no. 39, p. 1-19. ISSN: 1687-1847.
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BAŠTINEC, J.; DIBLÍK, J.; HALFAROVÁ, H. Positive solutions of nonlinear discrete equations. In 18th conference on aplied mathematics. Aplimat 2019 Proceedings. Bratislava: Slovak University of Technology, 2019. p. 23-30. ISBN: 978-80-227-4884-1.
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VÁŽANOVÁ, G.; DIBLÍK, J. Criteria for existence of solutions to linear advance-delay equations. In Matematika, informační technologie a aplikované vědy. 2019. p. 1-5. ISBN: 978-80-7582-097-6.
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REBENDA, J.; ŠMARDA, Z. Numerical algorithm for nonlinear delayed differential systems of nth order. Advances in Difference Equations, 2019, vol. 2019, no. 26, p. 1-13. ISSN: 1687-1847.
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STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. Solvability od a nonlinear fifth-order difference equation. Mathematical Methods in the Applied Sciences, 2019, vol. 2019, no. 42, p. 1687-1701. ISSN: 1099-1476.
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SMETANA, B. USING NEURAL NETWORKS TO SUPPORT THE DECISION MAKING PROCESS. In Colloquium on the Management of the Educational Process "Leadership – theory and practice". 1. Brno: Univerzita obrany Brno, 2018. p. 83-90. ISBN: 978-80-7582-082-2.
Detail

SMETANA, B.; CHVALINA, J. ARTFICIAL NEURON GROUP AND HYPERGROUP ACTIONS. DYNAMICAL SYSTEM MODELLING AND STABILITY INVESTIGATION. 1. Kyjev: Taras Shevchenko National University of Kyiv, Ukraine., 2019.
Detail

SMETANA, B.; CHVALINA, J. Series of Semihypergroups of Time-Varying Artificial Neurons and Related Hyperstructures. Symmetry, 2019, vol. 11, no. 7, p. 1-12. ISSN: 2073-8994.
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REBENDA, J.; ŠMARDA, Z. Application of differential transform to two-term fractional differential equations with noncommensurate orders. In International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2018. AIP conference proceedings. 2019. p. 1-4. ISBN: 9780735418547. ISSN: 0094-243X.
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REBENDA, J.; ŠMARDA, Z. Boundary value problem for elliptic equations, a differential transformation approach. In International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2018. AIP conference proceedings. 2019. p. 1-4. ISBN: 9780735418547. ISSN: 0094-243X.
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BAŠTINEC, J.; DIBLÍK, J.; MENCÁKOVÁ, K. Initial data generating bounded solutions of .systems of linear discrete equations. In AIP Conference Proceedings 2116, 310011 (2019). AIP conference proceedings. AIP, 2019. p. 310011-1 (310011-4 p.)ISBN: 9780735418547. ISSN: 0094-243X.
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RŮŽIČKOVÁ, M.; DZHALLADOVA, I.; DIBLÍK, J. Dynamical system with Markov parameters for modelling system security of threats in cyberspace. In AIP Conference Proceedings 2116, 310011 (2019). AIP conference proceedings. AIP, 2019. p. 310003-1 (310003-4 p.)ISBN: 9780735418547. ISSN: 0094-243X.
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NOVÁK, M.; CHVALINA, J.; KŘEHLÍK, Š. Hyperstructure generalizations of quasi-automata induced by modelling functions and signal processing. In International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2018). AIP conference proceedings. 2019. p. 340006-1 (340006-4 p.)ISBN: 978-0-7354-1854-7. ISSN: 0094-243X.
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DIBLÍK, J.; RODKINA, A.; ŠMARDA, Z. Preserving positivity in solution of stochastic delay difference equations. In 18th CONFERENCE ON APPLIED MATHEMATICS APLIMAT 2019 PROCEEDINGS. 2019. p. 233-242. ISBN: 978-80-227-4884-1.
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DIBLÍK, J.; RŮŽIČKOVÁ, M.; VÁŽANOVÁ, G. Exponential-type estimates of solutions linear discrete systems with constant coefficients and single delay. In AIP Conference Proceedings 2116. AIP conference proceedings. AIP, 2019. p. 310002-1 (310002-4 p.)ISBN: 9780735418547. ISSN: 0094-243X.
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CRISTEA, I.; KOCIJAN, J.; NOVÁK, M. Introduction to Dependence Relations and Their Links to Algebraic Hyperstructures. Mathematics, 2019, vol. 7, no. 10, p. 1-4. ISSN: 2227-7390.
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STEVIČ, S.; IRIČANIN, B.; ŠMARDA, Z. On a symmetric bilinear system of difference equations. APPLIED MATHEMATICS LETTERS, 2019, vol. 89, no. 2019, p. 15-21. ISSN: 0893-9659.
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DEMCHENKO, H.; DIBLÍK, J.; KHUSAINOV, D. Optimal stabilization for differential systems with delays - Malkin’s approach. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, vol. 356, no. 8, p. 4811-4841. ISSN: 0016-0032.
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STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z. Existence and Global Attractivity of Periodic Solutions to Some Classes of Difference Equations. FILOMAT, 2019, vol. 2019, no. 33.10, p. 3187-3201. ISSN: 0354-5180.
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MENCÁKOVÁ, K.; ŠAFAŘÍK, J. Grafické znázornění řešení soustav lineárních diskrétních rovnic. In Proceedings of the Slovak-Czech conference on geometry and graphics 2019. First. Bratislava: SCHK, Slovak Chemistry Library, Faculty of Chemical and Food Technology STU, 2019. s. 131-136. ISBN: 978-80-86843-65-0.
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MENCÁKOVÁ, K.; DIBLÍK, J. Relative controllability of a linear system of discrete equations with single delay. In ICNAAM 2019 Proceedings. AIP conference proceedings. Melville (USA): American Institute of Physics, 2020. p. 340009-1 (340009-4 p.)ISBN: 978-0-7354-4025-8. ISSN: 0094-243X.
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BAŠTINEC, J.; DIBLÍK, J.; KHUSAINOV, D.; SHATYRKO, A. Estimates of Solution Convergence Dynamical Processes in Neuronet with Time Delay. In Confgerence Proceedings “IEEE ATIT 2019" (Advanced Trends in Information Theory). Kyjev, Ukrajina: Institute of Electrical and Electronics Engineers Inc., 2019. p. 411-414. ISBN: 9781728161440.
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SMETANA, B.; CHVALINA, J. Systems of Fragments of Artificial Neural Networks. In 19th Conference on Applied Mathematics Aplimat 2020 Proceedings. 1. 2020. p. 253-270. ISBN: 978-80-227-4983-1.
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BORDBAR, H.; NOVÁK, M.; CRISTEA, I. A note on the support of a hypermodule. J ALGEBRA APPL, 2020, vol. 19, no. 1, p. 1-16. ISSN: 0219-4988.
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NOVÁK, M.; KŘEHLÍK, Š.; STANĚK, D. n-ary Cartesian composition of automata. SOFT COMPUTING, 2020, vol. 24, no. 3, p. 1837-1849. ISSN: 1432-7643.
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REBENDA, J.; PÁTÍKOVÁ, Z. Differential Transform Algorithm for Functional Differential Equations with Time-Dependent Delays. COMPLEXITY, 2020, vol. 2020, no. 1, p. 1-12. ISSN: 1076-2787.
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KŘEHLÍK, Š.; VYROUBALOVÁ, J. The Symmetry of Lower and Upper Approximation, Determined by a Cyclic Hypergroup, Applicable in Control Theory. Symmetry, 2020, vol. 12, no. 1, p. 1-16. ISSN: 2073-8994.
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DIBLÍK, J.; VÁŽANOVÁ, G. Existence of global solutions to nonlinear mixed-type functional differential equations. Nonlinear Analysis, Theory, Methods and Applications, 2020, vol. 195, no. 8, p. 1-22. ISSN: 0362-546X.
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BRAVERMAN, E.; DIBLÍK, J.; RODKINA, A.; ŠMARDA, Z. Stabilization of cycles for difference equations with a noisy PF control. AUTOMATICA, 2020, vol. 115, no. 1, p. 1-8. ISSN: 0005-1098.
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DIBLÍK, J.; MENCÁKOVÁ, K. A Note on Relative Controllability of Higher-Order Linear Delayed Discrete Systems. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, vol. 74, no. 12, p. 1-8. ISSN: 0018-9286.
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NOVÁK, M.; KŘEHLÍK, Š. Modified product of automata as a better tool for description of real-life systems. In International Conference on Numerical Analysis and Applied Mathematics ICNAAM 2019. AIP Conference Proceedings. AIP Conference Proceedings. AIP Publishing, 2020. p. 1-4. ISBN: 978-0-7354-4025-8. ISSN: 1551-7616.
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ŠAFAŘÍK, J. Weakly Delayed Systems of Linear Discrete Equations in $\mathbb{R}^3$. Brno: VUT, 2018.
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