Brno University of Technology - Vnitřní projekty VUT

- whole funder (2020-01-01 - 2021-12-31)

FAST-S-20-6294

Czech

Gálová Adéla, Ing. - fellow researcher
Holešovský Jan, Ing., Ph.D. - fellow researcher
Jedlička Michal, Ing. - fellow researcher
Němec Ivan, doc. Ing., CSc. - fellow researcher
Štekbauer Hynek, Ing., Ph.D. - fellow researcher
Vala Jiří, prof. Ing., CSc. - principal person responsible

Institute of Mathematics and Descriptive Geometry
- (2020-01-01 - 2020-12-31)
Institute of Structural Mechanics
- (2020-01-01 - 2020-12-31)
Faculty of Civil Engineering
- (2020-01-01 - 2020-12-31)

DIBLÍK, J.; MENCÁKOVÁ, K. Representation of solutions to delayed linear discrete systems with constant coefficients and with second-order differences. APPLIED MATHEMATICS LETTERS, 2020, vol. 105, no. 106309, p. 1-7. ISSN: 0893-9659.
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MORÁVKOVÁ, B.; DIBLÍK, J. Solutions of linear discrete systems with a single delay and impulses. In AIP Conference Proceedings, International Conference on Numerical Analysis and Applied Mathematics 2021, ICNAAM 2021. AIP conference proceedings. Melville (USA): American Institute of Physics, 2023. p. 370003-1 (370003-4 p.)ISSN: 0094-243X.
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CHRASTINOVÁ, V.; TRYHUK, V. The Poincaré-Cartan forms of one-dimensional variational integrals. Mathematica Slovaca, 2020, vol. 70, no. 6, p. 1381-1412. ISSN: 0139-9918.
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VALA, J.; NĚMEC, I.; VANĚČKOVÁ, A. Exact solution of a thick beam on Pasternak subsoil in finite element calculations. Mathematics and Computers in Simulation, 2021, vol. 189, no. 11, p. 36-54. ISSN: 0378-4754.
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VALA, J. On the computational finite cylinder source model for energy piles. In AIP Conference Proceedings Volume 2305 25th International Meeting on Thermophysics 2020; Smolenice; Slovakia. AIP conference proceedings. Melville (USA): American Institute of Physics, 2020. p. 020021-1 (020021-6 p.)ISBN: 978-0-7354-4041-8. ISSN: 0094-243X.
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ŠTEKBAUER, H.; NĚMEC, I. Stabilization of contact penetration in the explicit method. In ICNAAM 2020 Proceedings, AIP Conference Proceedings. AIP conference proceedings. AIP Conference Proceedings Vol. 2425. Melville (USA): American Institute of Physics, 2022. p. 270012-1 (270012-4 p.)ISBN: 978-0-7354-4182-8. ISSN: 0094-243X.
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VALA, J.; KOZÁK, V.; JEDLIČKA, M. Scale bridging in computational modelling of quasi-brittle fracture of cementitious composites. In ICBM 2020 Proceedings. Solid State Phenomena. Zurich: TransTech, 2021. p. 56-64. ISSN: 1012-0394.
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VALA, J. On direct and inverse diffusion problems useful in computational disease spread modelling. In ICNAAM 2020 Proceedings. AIP conference proceedings. Melville (USA): American Institute of Physics, 2022. p. 270007-1 (270007-4 p.)ISBN: 978-0-7354-4182-8. ISSN: 0094-243X.
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VALA, J. Modelling of micro- and macro-fracture in cementitious composites. In Proceedings of the Conference Algoritmy 2020. Bratislava: STU, 2020. p. 181-190. ISBN: 978-80-227-5032-5.
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REK, V.; VALA, J. On a distributed computing platform for a class of contact - impact problems. SNA´21 - Seminar on Numerical Analysis. Ostrava: Institute of Geonics CAS, 2021. p. 64-67. ISBN: 978-80-86407-82-1.
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BULANTOVÁ, J., LACHOVÁ, A. Teoretické řešení střech s Geogebrou. Proceedings of the CZECH-SLOVAK CONFERENCE ON GEOMETRY AND GRAPHICS 2020. First. Bratislava: SCHK, Slovak Chemistry Library, Faculty of Chemical and Food Technology STU, 2020. s. 71-74. ISBN: 978-80-8208-047-9.
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MENCÁKOVÁ, K.; ŠAFAŘÍK, J. Výuka deskriptivní geometrie na FAST VUT v době „koronavirové“. Proceedings of the Czech-Slovak conference on geometry and graphics 2020. First. Bratislava: SCHK, Slovak Chemistry Library, Faculty of Chemical and Food Technology STU, 2020. s. 131-138. ISBN: 978-80-8208-047-9.
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ZRŮSTOVÁ, L.; URBÁNEK, F. Přehled základních konstrukcí lineární perspektivy v programu Geogebra. Proceedings of the CZECH-SLOVAK CONFERENCE ON GEOMETRY AND GRAPHICS 2020. First Edition. Bratislava: SCHK, Slovak Chemistry Library, Faculty of chemical and food technology STU, 2020. s. 183-186. ISBN: 978-80-8208-047-9.
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VALA, J.; KOZÁK, V. Výpočtové modelování šíření trhlin v kvazikřehkých kompozitních materiálech. Prague: Institute of Mathematics CAS, 2020. s. 20-20.
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NĚMEC, I.; ŠTEKBAUER, H.; LANG, R.; ZEINER, M.; BURKART, D. A correct and efficient algorithm for impact of bodies. Ostrava: Institute of Geonics CAS, 2021. p. 51-55. ISBN: 978-80-86407-82-1.
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DIBLÍK, J. Representation of solutions to delayed differential equations with a single delay by dominant and subdominant solutions. APPLIED MATHEMATICS LETTERS, 2021, vol. 119, no. 107236, p. 1-7. ISSN: 0893-9659.
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MIKEŠ, J.; GUSEVA, N.; PEŠKA, P.; RÝPAROVÁ, L. Rotary Mappings and Projections of a Sphere. MATHEMATICAL NOTES, 2021, vol. 110, no. 1-2, p. 152-155. ISSN: 0001-4346.
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BEREZOVSKI, V.; CHEREVKO, Y.; MIKEŠ, J.; RÝPAROVÁ, L. Canonical Almost Geodesic Mappings of the First Type of Spaces with Affine Connections onto Generalized m-Ricci-Symmetric Spaces. Mathematics, 2021, vol. 9, no. 4, p. 1-12. ISSN: 2227-7390.
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KŘÍŽEK, J.; MIKEŠ, J.; PEŠKA, P.; RÝPAROVÁ, L. EXTREMALS AND ISOPERIMETRIC EXTREMALS OF THE ROTATIONS IN THE PLANE. In Proceedings of the International Conference on Geometry Integrability and Quantization. Geometry, Integrability and Quantization. SOFIA: INST BIOPHYSICS & BIOMEDICAL ENGINEERING BULGARIAN ACAD SCIENCES, 2021. p. 136-141. ISSN: 1314-3247.
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VALA, J.; KOZÁK, V. Non-local damage modelling of quasi-brittle composites. APPLICATIONS OF MATHEMATICS, 2021, vol. 66, no. 6, p. 815-836. ISSN: 0862-7940.
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BAŠTINEC, J.; DIBLÍK, J.; PINELAS, S.; VALA, J. Determining the initial data generating solutions with prescribed behaviour of a triangular system of linear discrete equations. APPLIED MATHEMATICS AND COMPUTATION, 2022, vol. 425, no. 1, p. 126533-1 (126533-18 p.)ISSN: 0096-3003.
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KOTRECHKO, S.; KOZÁK, V.; ZATSARNA, O.; ZIMINA, G.; STETSENKO, N.; DLOUHÝ, I. Incorporation of temperature and plastic strain effects into local approach to fracture. Materials, 2021, vol. 14, no. 20, p. 1-11. ISSN: 1996-1944.
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DIBLÍK, J.; VÁŽANOVÁ, G. Lower and upper estimates of semi-global and global solutions to mixed-type functional differential equations. Advances in Nonlinear Analysis, 2022, vol. 11, no. 1, p. 757-784. ISSN: 2191-950X.
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MIKEŠ, J.; FORMELLA, S.; HINTERLEITNER, I.; GUSEVA, N. Some questions of geodesic mappings of Einstein spaces. Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. Rusko: Itogi nauki i techniki, 2021. s. 50-61. ISSN: 0233-6723.
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DIBLÍK, J.; RŮŽIČKOVÁ, M.; SCHMEIDEL, E. Równania różniczkowe zwyczajne I. Wydawnictwo Uniwersytetu w Białymstoku: 2021. 288 s. ISBN: 978-83-7431-725-2.
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DIBLÍK, J.; GALEWSKI, M. Existence of solutions in cones to delayed higher-order differential equations. APPLIED MATHEMATICS LETTERS, 2022, vol. 130, no. 108014, p. 1-7. ISSN: 0893-9659.
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HALFAROVÁ, H.; DIBLÍK, J.; ŠAFAŘÍK, J. General solution to a weakly delayed planar linear discrete system, the case of real different eigenvalues of the matrix of nondelayed terms. In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020. AIP conference proceedings. Melville (USA): American Institute of Physics, 2022. p. 270009-1 (270009-4 p.)ISBN: 978-0-7354-4182-8. ISSN: 0094-243X.
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ŠAFAŘÍK, J.; DIBLÍK, J.; HALFAROVÁ, H. Solution of weakly delayed linear two-dimensional discrete systems with constant coefficients and multiple delays. In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2020. AIP conference proceedings. Melville (USA): American Institute of Physics, 2022. p. 270010-1 (270010-4 p.)ISBN: 978-0-7354-4182-8. ISSN: 0094-243X.
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BEREZOVSKI, V.; CHEREVKO, Y.; HINTERLEITNER, I.; MIKEŠ, J. Canonical almost geodesic mappings of the first type onto generalized Ricci symmetric spaces. FILOMAT, 2022, vol. 36, no. 4, p. 1089-1097. ISSN: 0354-5180.
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MIKEŠ, J.; GUSEVA, N.; PEŠKA, P.; RÝPAROVÁ, L. Almost geodesic mappings and projections of the sphere. MATHEMATICAL NOTES, 2022, vol. 111, no. 3-4, p. 498-502. ISSN: 1573-8876.
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ŠAFAŘÍK, J.; BULANTOVÁ, J.; MENCÁKOVÁ, K.; MORÁVKOVÁ, B.; RÝPAROVÁ, L.; ZRŮSTOVÁ, L. Sbírka řešených příkladů z konstruktivní geometrie. Brno: Fakulta stavební VUT v Brně, 2022.
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CHRASTINOVÁ, V.; TRYHUK, V. On the Lagrange variational problem. Annales Polon.Math., 2023, vol. 130, no. 2, p. 149-180. ISSN: 0066-2216.
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DIBLÍK, J.; RŮŽIČKOVÁ, M.; SCHMEIDEL, E. Równania różniczkowe zwyczajne II. Białystok: Wydawnictwo Uniwersytetu w Białymstoku, 2023. 162 s. ISBN: 978-83-7431-755-9.
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DIBLÍK, J.; HALFAROVÁ, H.; ŠAFAŘÍK, J. Two-parameters formulas for general solution to planar weakly delayed linear discrete systems with multiple delays, equivalent non-delayed systems, and conditional stability. APPLIED MATHEMATICS AND COMPUTATION, 2023, vol. 459, no. 12, p. 1-14. ISSN: 0096-3003.
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DIBLÍK, J.; ŠAFAŘÍK, J.; HALFAROVÁ, H. Conditional stability of planar weakly delayed linear discrete systems with constant coefficients and a single delay. In AIP Conference Proceedings, International Conference on Numerical Analysis and Applied Mathematics 2021, ICNAAM 2021. AIP conference proceedings. Melville (USA): American Institute of Physics, 2023. p. 370002-1 (370002-4 p.)ISSN: 0094-243X.
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VALA, J.; KOZÁK, V.; JAROŠOVÁ, P. On a computational approach to micro- and macro-modelling of damage in brittle and quasi-brittle materials. International Journal of Mechanics, 2020, vol. 14, no. 1, p. 185-197. ISSN: 1998-4448.
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