Publications

• 2023

  ČERMÁK, J.; KISELA, T.; NECHVÁTAL, L. The Lambert function method in qualitative analysis of fractional delay differential equations. Fractional Calculus and Applied Analysis, 2023, vol. 26, no. 4, p. 1545-1565. ISSN: 1311-0454.
  Detail | WWW | Full text in the Digital Library

• 2022

  ČERMÁK, J.; NECHVÁTAL, L. On stability of linear differential equations with commensurate delayed arguments. APPLIED MATHEMATICS LETTERS, 2022, vol. 125, no. 1, p. 1-8. ISSN: 0893-9659.
  Detail | WWW

• 2021

  ČERMÁK, J.; NECHVÁTAL, L. On a problem of linearized stability for fractional difference equations. NONLINEAR DYNAMICS, 2021, vol. 104, no. 2, p. 1253-1267. ISSN: 1573-269X.
  Detail | WWW

• 2020

  ČERMÁK, J.; NECHVÁTAL, L. On stabilization of unstable steady states of autonomous ordinary differential equations via delayed feedback controls. PHYSICA D-NONLINEAR PHENOMENA, 2020, vol. 404, no. 1, p. 1-30. ISSN: 0167-2789.
  Detail | WWW

  ČERMÁK, J.; NECHVÁTAL, L. On exact and discretized stability of a linear fractional delay differential equation. APPLIED MATHEMATICS LETTERS, 2020, vol. 105, no. 1, p. 1-9. ISSN: 0893-9659.
  Detail | WWW

  ČERMÁK, J.; KISELA, T.; NECHVÁTAL, L. Několik poznámek ke zlomkovému kalkulu. Pokroky matematiky, fyziky a astronomie, 2020, vol. 65, no. 3, p. 157-175. ISSN: 0032-2423.
  Detail | WWW

• 2019

  ČERMÁK, J.; JÁNSKÝ, J.; NECHVÁTAL, L. Exact versus discretized stability regions for a linear delay differential equation. APPLIED MATHEMATICS AND COMPUTATION, 2019, vol. 347, no. 1, p. 712-722. ISSN: 0096-3003.
  Detail | WWW

  ČERMÁK, J.; NECHVÁTAL, L. Stability and chaos in the fractional Chen system. Chaos, Solitons & Fractals, 2019, vol. 125, no. 1, p. 24-33. ISSN: 0960-0779.
  Detail | WWW

• 2018

  ČERMÁK, J.; NECHVÁTAL, L. Local Bifurcations and Chaos in the Fractional Rössler System. International Journal of Bifurcations & Chaos, 2018, vol. 28, no. 8, p. 1850098-1 (1850098-17 p.)ISSN: 0218-1274.
  Detail | WWW

• 2017

  ČERMÁK, J.; NECHVÁTAL, L. The Routh–Hurwitz conditions of fractional type in stability analysis of the Lorenz dynamical system. NONLINEAR DYNAMICS, 2017, vol. 87, no. 2, p. 939-954. ISSN: 1573-269X.
  Detail | WWW

• 2015

  ČERMÁK, J.; NECHVÁTAL, L. O rozložení kořenů kubického polynomu. Kvaternion, 2015, vol. 2015, no. 1- 2, p. 25-39. ISSN: 1805- 1324.
  Detail

  ČERMÁK, J.; NECHVÁTAL, L.; GYŐRI, I. On explicit stability conditions for a linear fractional difference system. Fractional Calculus and Applied Analysis, 2015, vol. 18, no. 3, p. 651-672. ISSN: 1311-0454.
  Detail | WWW

• 2014

  NECHVÁTAL, L. On asymptotics of discrete Mittag- Leffler function. Mathematica Bohemica, 2014, vol. 139, no. 4, p. 667-675. ISSN: 0862- 7959.
  Detail

• 2013

  ČERMÁK, J.; KISELA, T.; NECHVÁTAL, L. Stability regions for linear fractional differential systems and their discretizations. APPLIED MATHEMATICS AND COMPUTATION, 2013, vol. 219, no. 12, p. 7012-7022. ISSN: 0096- 3003.
  Detail

• 2012

  ČERMÁK, J.; KISELA, T.; NECHVÁTAL, L. Stability and asymptotic properties of a linear fractional difference equation. Advances in Difference Equations, 2012, vol. 2012, no. 1, p. 1-14. ISSN: 1687-1847.
  Detail | WWW | Full text in the Digital Library

• 2011

  ČERMÁK, J.; KISELA, T.; NECHVÁTAL, L. Discrete Mittag- Leffler functions in linear fractional difference equations. Abstract and Applied Analysis, 2011, vol. 2011, no. 2011, p. 1-21. ISSN: 1085- 3375.
  Detail

  FRANCŮ, J.; NECHVÁTAL, L. Homogenization of Monotone Problems with Uncertain Coefficients. Mathematical Modelling and Analysis, 2011, vol. 16, no. 3, p. 432-441. ISSN: 1392- 6292.
  Detail

  NECHVÁTAL, L. On a solution of monotone type problems with uncertain inputs. Tatra Mountains Mathematical Publications, 2011, vol. 48, no. 7, p. 145-152. ISSN: 1210- 3195.
  Detail

• 2010

  ČERMÁK, J.; NECHVÁTAL, L. On (q,h) - analogue of fractional calculus. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2010, vol. 17, no. 1, p. 1-18. ISSN: 1402- 9251.
  Detail

  NECHVÁTAL, L. Homogenization with uncertain input parameters. Mathematica Bohemica, 2010, vol. 135, no. 4, p. 393-402. ISSN: 0862- 7959.
  Detail

• 2007

  NECHVÁTAL, L. Some remarks on non- integer differential and integral calculus. In 6. matematický workshop. Brno: Fakulta stavební Vysokého učení technického v Brně, 2007. p. 1-7. ISBN: 80-214-2741- 8.
  Detail

  KUNDRÁT, P.; NECHVÁTAL, L. A few notes on fractional calculus. In 5. konference o matematice a fyzice na vysokých školách technických s mezinárodní účastí. Sborník příspěvků. Brno: Univerzita obrany, 2007. p. 195-203. ISBN: 978-80-7231-274- 0.
  Detail

• 2006

  NECHVÁTAL, L. Worst scenario method in homogenization. Linear Case. APPLICATIONS OF MATHEMATICS, 2006, vol. 51, no. 3, p. 263-294. ISSN: 0862- 7940.
  Detail

• 2005

  NECHVÁTAL, L. Homogenizace vybraných nelineárních úloh s nejistými vstupními daty. In Sborník ze 14. semináře Moderní matematické metody v inženýrství. Ostrava: VŠB - Technická univerzita Ostrava, 2005. p. 144-147. ISBN: 80-248-0951- 6.
  Detail

  FRANCŮ, J.; NECHVÁTAL, L.; POSPÍŠIL, T. Mathematical Problems of Modelling of Real Composite Materials. In Proceedings of the Conference Seminar of Applied Mathematics. Praha: Katedra matematiky Fakulty stavebni ČVUT v Praze, JČMF, 2005. p. 91-105. ISBN: 80-7015-001- 7.
  Detail

• 2004

  NECHVÁTAL, L. Užití metody nejhoršího scénáře v homogenizaci. In Sborník z 13. semináře Moderní matermatické metody v inženýrství. Ostrava: 2004. p. 155 ( p.)ISBN: 80-248-0736- X.
  Detail

  NECHVÁTAL, L. Alternative approaches to the two- scale convergence. APPLICATIONS OF MATHEMATICS, 2004, vol. 49, no. 2, p. 97 ( p.)ISSN: 0862- 7940.
  Detail

• 2002

  NECHVÁTAL, L. On two- scale convergence. Equadiff 10. Brno: Masaryk University, 2002. p. 149-150. ISBN: 80-210-2809- 2.
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  NECHVÁTAL, L. On two- scale convergence. Mathematics and Computers in Simulation, 2002, vol. 61, p. 489 ( p.)ISSN: 0378- 4754.
  Detail

  NECHVÁTAL, L. Homogenizace eliptického problému s neurčitostmi v koeficientech. In Sborník z 13. semináře. Ostrava: Vysoká škola báňská - Technická univerzita Ostrava, 2002. p. 174 ( p.)ISBN: 80-248-0184- 1.
  Detail

• 2001

  NECHVÁTAL, L. O dvouškálové konvergenci. In 2001.
  Detail

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