<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Institute of Applied Informatics, Automation and Mechatronics, Faculty of Materials Science and Technology in Trnava, Slovak University of Technology in Bratislava, Ulica Jána Bottu 2781/25, 917 24 Trnava, Slovak Republic

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

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

This paper deals with stability in the Liapunov sense of the 4-th order quasilinear differential equations with quasiderivatives. An asymptotic stability...

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

Published Online: Apr 04, 2017

Page range: 63 - 69

DOI: https://doi.org/10.1515/rput-2016-0018

Keywords
Quasilinear differential equation, quasiderivative, 4-th order, stability in the Liapunov sense, asymptotic stability in the Liapunov sense

© 2016 Oleg Palumbíny, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Apr 04, 2017

Page range: 63 - 69

DOI: https://doi.org/10.1515/rput-2016-0018

KeywordsQuasilinear differential equation, quasiderivative, 4-th order, stability in the Liapunov sense, asymptotic stability in the Liapunov sense

© 2016 Oleg Palumbíny, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Quasilinear differential equation, quasiderivative, 4-th order, stability in the Liapunov sense, asymptotic stability in the Liapunov sense