On Stability Criterion of 4-th Order Quasilinear Differential Equations with Quasiderivatives

Oleg Palumbíny

doi:10.1515/rput-2016-0018

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On Stability Criterion of 4-th Order Quasilinear Differential Equations with Quasiderivatives

Research Papers Faculty of Materials Science and Technology Slovak University of Technology

Volume 24 (2016): Issue 39 (December 2016)

By: Oleg Palumbíny

Open Access

|Apr 2017

Abstract

This paper deals with stability in the Liapunov sense of the 4-th order quasilinear differential equations with quasiderivatives. An asymptotic stability criterion is derived. An illustrative example is added.

References

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4. NEŠTICKÝ, M., PALUMBÍNY, O., 2014. On Stability Criteria of Third Order Autonomous Nonlinear Differential Equations with Quasiderivatives, Advances in Intelligent Systems and Computing, vol. 240, Advances in System Science: In: Proceedings of the International Conference on System Science 2013 – b. m.: Switzerland: Springer International Publishing, pp. 435–442.10.1007/978-3-319-01857-7_42
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6. Palumbíny, O., Neštický, M., 2014. On Stability of Certain Class of 3-rd Order Nonlinear Control System. Research papers of Faculty of Materials Science and Technology of Slovak University of Technology in Bratislava, 22(35), 39–48.10.2478/rput-2014-0033
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Articles in this issue

DOI: https://doi.org/10.1515/rput-2016-0018 | Journal eISSN: 1338-0532 | Journal ISSN: 1336-1589

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Language: English

Page range: 63 - 69

Published online: Apr 4, 2017

Published in print: Dec 1, 2016

Published by: Slovak University of Technology in Bratislava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Quasilinear differential equation,

quasiderivative,

4-th order,

stability in the Liapunov sense,

asymptotic stability in the Liapunov sense

Related subjects:

Engineering,

Introductions and overviews,

Engineering, other

© 2017 Oleg Palumbíny, published by Slovak University of Technology in Bratislava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 24 (2016): Issue 39 (December 2016)