<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper, with use of Lyapunov functional, we investigate asymptotic stability of solutions of some nonlinear differential equations of third order with delay. Our results include and improve some well-known results in the literature.</p></abstract>

In this paper, with use of Lyapunov functional, we investigate asymptotic stability of solutions of some nonlinear differential equations of third order with delay. Our results include and improve some well-known results in the literature.

Stability of the solutions of nonlinear third order differential equations with multiple deviating arguments

Department of Mathematics, University of Oran 1, Ahmed Benbella, Algeria

Acta Universitatis Sapientiae, Mathematica

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

In this paper, with use of Lyapunov functional, we investigate asymptotic stability of solutions of some nonlinear differential equations of third order with...

Stability of the solutions of nonlinear third order differential equations with multiple deviating arguments

Published Online: Aug 02, 2016

Page range: 150 - 165

Received: Jan 28, 2015

DOI: https://doi.org/10.1515/ausm-2016-0009

Keywords
stability, Lyapunov functional, delay differential equations, third-order differential equations

© 2016 Moussadek Remili et al., published by De Gruyter Open

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

Stability of the solutions of nonlinear third order differential equations with multiple deviating arguments

Published Online: Aug 02, 2016

Page range: 150 - 165

Received: Jan 28, 2015

DOI: https://doi.org/10.1515/ausm-2016-0009

Keywordsstability, Lyapunov functional, delay differential equations, third-order differential equations

© 2016 Moussadek Remili et al., published by De Gruyter Open

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

Keywords
stability, Lyapunov functional, delay differential equations, third-order differential equations