Publications

• 2023

  CHRASTINOVÁ, V.; TRYHUK, V. On the Lagrange variational problem. Annales Polon.Math., 2023, vol. 130, no. 2, p. 149-180. ISSN: 0066-2216.
  Detail | WWW

• 2020

  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.
  Detail | WWW

• 2018

  CHRASTINOVÁ, V. The incomplete exact inverse problem of the calculus of variations. Advances in Analysis, 2018, vol. 3, no. 1, p. 52-65. ISSN: 2518-3680.
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  CHRASTINOVÁ, V.; TRYHUK, V. The symmetry reduction of variational integrals, complement. Mathematica Bohemica, 2018, vol. 143, no. 6, p. 601-624. ISSN: 0862-7959.
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  TRYHUK, V.; CHRASTINOVÁ, V. The symmetry reduction of variational integrals. Mathematica Bohemica, 2018, vol. 143, no. 3, p. 291-328. ISSN: 0862-7959.
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• 2017

  CHRASTINOVÁ, V.; TRYHUK, V. On the internal approach to differential equations, 2. The controllability structure. Mathematica Slovaca, 2017, vol. 67, no. 4, p. 1011-1030. ISSN: 0139-9918.
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  CHRASTINOVÁ, V. The intransitive Lie group actions with variable structure constants. In MITAV 2017 Proceedings. Brno: Univerzita obrany, 2017. p. 141-146. ISBN: 978-80-7582-026-6.
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  CHRASTINOVÁ, V.; TRYHUK, V. Report on the Absolute Differential Equations I. Advances in Analysis, 2017, vol. 2, no. 1, p. 41-61. ISSN: 2518-3680.
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  CHRASTINOVÁ, V.; TRYHUK, V. On the exact inverse problem of the calculus of variations. Advances in Analysis, 2017, vol. 2, no. 3, p. 196-218. ISSN: 2518-3680.
  Detail | WWW

  CHRASTINOVÁ, V. The Lie' s structure constants need not be constant. In MITAV - sborník příspěvků. Brno: Univerzita obrany, 2017. p. 101-105. ISBN: 978-80-7231-417- 1.
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• 2016

  CHRASTINOVÁ, V.; TRYHUK, V. On the internal approach to differential equations 1. The involutiveness and standard basis. Mathematica Slovaca, 2016, vol. 66, no. 4, p. 999-1018. ISSN: 0139-9918.
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  CHRASTINOVÁ, V.; TRYHUK, V. On the internal approach to differential equations 3. Infinitesimal symmetries. Mathematica Slovaca, 2016, vol. 66, no. 6, p. 1459-1474. ISSN: 0139-9918.
  Detail | WWW

• 2014

  TRYHUK, V.; CHRASTINOVÁ, V. Automorphisms of Ordinary Differential Equations. Abstract and Applied Analysis, 2014, vol. 2014, no. ID 482963, p. 1-32. ISSN: 1085-3375.
  Detail | WWW | Full text in the Digital Library

• 2012

  CHRASTINOVÁ, V.; TRYHUK, V. Parallelisms between differential and difference equations. Mathematica Bohemica, 2012, vol. 137 (2012), no. 2, p. 175-185. ISSN: 0862- 7959.
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  TRYHUK, V.; CHRASTINOVÁ, V. Equivalence of difference equations within the web theory. Mathematica Slovaca, 2012, vol. 62, no. 4, p. 735-750. ISSN: 0139- 9918.
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• 2011

  CHRASTINOVÁ, V. Report on the higher order contact transformations. In Proceedings part 1 - mathematics. Brno: University of Defence, 2011. p. 171-183. ISBN: 978-80-7231-815- 5.
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  TRYHUK, V.; CHRASTINOVÁ, V.; DLOUHÝ, O. The Lie Group in Infinite Dimension. Abstract and Applied Analysis, 2011, vol. 2011, no. 1, p. 1-35. ISSN: 1085- 3375.
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• 2010

  TRYHUK, V.; CHRASTINOVÁ, V. On the mapping of jet spaces. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2010, vol. 17, no. 3, p. 293-310. ISSN: 1402- 9251.
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  CHRASTINOVÁ, V.; TRYHUK, V. Automorphisms of Submanifolds. Advances in Difference Equations, 2010, vol. 2010, no. 1, p. 1-26. ISSN: 1687- 1839.
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  CHRASTINOVÁ, V. Straight Lines in Three-Dimensional Space and the Ultrahyperbolic Equation. Tavricheskiy vestnik informatiki i matematiki, 2010, vol. 2010, no. 1, p. 35-49. ISSN: 1729- 3901.
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• 2009

  TRYHUK, V.; CHRASTINOVÁ, V. Automorhisms of Curves. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2009, vol. 16, no. 3, p. 259-281. ISSN: 1402- 9251.
  Detail | WWW

• 2007

  CHRASTINOVÁ, V. Generalized contact transformations. Irsko: Dept. of Math. National. Univ. of Ireland Maynooth., 2007.
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  CHRASTINOVÁ, V.; TRYHUK, V. Generalized contact transformations. Journal of Applied Mathematics, Statistics and Informatics., 2007, vol. 3, no. 1, p. 47-62. ISSN: 1336- 9180.
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  CHRASTINOVÁ, V. Parallel helices in R3. In 6. Matematický workshop. Brno: FAST VUT, 2007. p. 35-36. ISBN: 80-214-2741- 8.
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• 2006

  CHRASTINOVÁ, V. Automorphisms of smooth curves. Irsko: Dept. of Math. National Univ. of Ireland Maynooth, 2006.
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• 2005

  CHRASTINOVÁ, V. The mystery of degenerate variational problems. Irsko: Dept.of Math. National Univ of Ireland Maynooth., 2005.
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• 2004

  CHRASTINOVÁ, V. Matematika I - Analytická geometrie. FAST VUT, 2004. p. 1-57.
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  CHRASTINOVÁ, V. Straight Lines and the Ultrahyperbolic Equation. In 3. Matematický workshop. FAST VUT, 2004. p. 55-56. ISBN: 80-214-2741- 8.
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  CHRASTINOVÁ, V. On the classical concept of degenerate variational problems. Irsko: Dept. of Math., National Univ. of Ireland Maynooth, 2004.
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  CHRASTINOVÁ, V. Matematika - vektorová algebra a analytická geometrie (elektronický učební materiál FAST VUT). Brno: FAST VUT v Brně, 2004.
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  CHRASTINOVÁ, V. Straight Lines and the Ultrahyperbolic Equation: Examples. Irsko: Dept. of Math., National Univ. of Ireland Maynooth., 2004.
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• 2003

  CHRASTINOVÁ, V. Variations of Solutions of Differential Equations II. Irsko: Dept. of Math., University College of Dublin, 2003.
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  CHRASTINOVÁ, V. Variations of Solutions of Differential Equations III. Irsko: Dept. of Math., National Univ. of Ireland, Maynooth, 2003.
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  CHRASTINOVÁ, V. Differential Equations for Variations. Tools for mathematical modelling. Petrohrad.: GTU Petrohrad., 2003. p. 37-37.
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  CHRASTINOVÁ, V. Straight Lines and the Ultrahyperbolic Equation. Irsko: Math.Dept. National Univ. of Ireland Maynooth., 2003.
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  CHRASTINOVÁ, V. Explicit formulae for variations. In 2. Matematický workshop. Brno: FAST VUT, 2003. ISBN: 80-214-2741- 8.
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  CHRASTINOVÁ, V. Variations of Solutions of Differential Equations I. Dept. of Math., Trinity College Dublin.: 2003.
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  CHRASTINOVÁ, V. Differential Equations for Variations. In Tools for mathematical modelling. Math. Research Vol. 9. Petrohrad: GTU, 2003. p. 105-109. ISBN: 5-7422-0511- 2.
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• 2002

  CHRASTINOVÁ, V. What Differential Equations Should Be ?. Irsko: Dept. of Math., National Univ. of Ireland, Maynooth, 2002.
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  CHRASTINOVÁ, V.; TRYHUK, V. On the Mayer problem II. Examples. Mathematica Slovaca, 2002, vol. 52, no. 5, p. 571-590. ISSN: 0139- 9918.
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  CHRASTINOVÁ, V.; TRYHUK, V. On the Mayer problem I. General principles. Mathematica Slovaca, 2002, vol. 52, no. 5, p. 555-570. ISSN: 0139- 9918.
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• 2001

  CHRASTINOVÁ, V. A general controllability theorem. Equadiff 10 Abstracts. Praha: Matematický ústav AV, 2001. p. 24-24. ISBN: 80-85823-46- 2.
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• 2000

  CHRASTINOVÁ, V. Underdetermined ordinary differential equations. 2000, vol. 6, no. 1, p. 52-57.
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  CHRASTINOVÁ, V. Underdetermined differential equations. In DIFFEQ 2000 Book of Abstracts. Petrohrad: GTU Petrohrad, 2000. p. 31-32.
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• 1999

  CHRASTINOVÁ, V. Formulating of variational problems. Sborník konference FAST VUT. Brno: FAST VUT Brno, 1999. p. 39-40.
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• 1995

  CHRASTINOVÁ, V. On the Darboux transformation II. ARCHIVUM MATHEMATICUM, 1995, vol. 31, no. 1, p. 121-138. ISSN: 0044- 8753.
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  CHRASTINOVÁ, V. On the Darboux transformation I. Georgian Mathematical Journal, 1995, vol. 2, no. 3, p. 237-241. ISSN: 1072- 947X.
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• 1993

  CHRASTINOVÁ, V. On the underdetermined ordinary differential equations. Equadiff 8 Abstracts. Bratislava: STU Bratislava, 1993.
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