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On Stability Criteria of Third-Order Autonomous Nonlinear Differential Equations with Quasi-Derivatives

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Advances in Systems Science

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 240))

Abstract

The paper deals with ordinary 3-order nonlinear differential equations L 3 y = f(L 0 y, L 1 y, L 2 y) with quasi-derivatives. There is established a criterion of asymptotic stability in Liapunov sense as well as a criterion of instability in Liapunov sense. The results are illustrated by proper examples.

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References

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Author information

Authors and Affiliations

  1. Institute of Applied Informatics and Mathematics, Faculty of Materials Science and Technology, Slovak University of Technology in Bratislava, Hajdoczyho 1, 917 24, Trnava, Slovakia

    Martin Neštický & Oleg Palumbíny

Authors
  1. Martin Neštický
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  2. Oleg Palumbíny
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Corresponding author

Correspondence to Martin Neštický .

Editor information

Editors and Affiliations

  1. Institute of Informatics, Wroclaw University of Technology, Wrocław, Poland

    Jerzy Swiątek

  2. Institute of Informatics, Wroclaw University of Technology, Wrocław, Poland

    Adam Grzech

  3. Institute of Informatics, Wroclaw University of Technology, Wrocław, Poland

    Paweł Swiątek

  4. Institute of Informatics, Wroclaw University of Technology, Wrocław, Poland

    Jakub M. Tomczak

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© 2014 Springer International Publishing Switzerland

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Cite this paper

Neštický, M., Palumbíny, O. (2014). On Stability Criteria of Third-Order Autonomous Nonlinear Differential Equations with Quasi-Derivatives. In: Swiątek, J., Grzech, A., Swiątek, P., Tomczak, J. (eds) Advances in Systems Science. Advances in Intelligent Systems and Computing, vol 240. Springer, Cham. https://doi.org/10.1007/978-3-319-01857-7_42

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  • DOI: https://doi.org/10.1007/978-3-319-01857-7_42

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-01856-0

  • Online ISBN: 978-3-319-01857-7

  • eBook Packages: EngineeringEngineering (R0)

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