Open AccessArticle

Study of the global asymptotic stability in nonlinear neutral integro-dynamic

Department of Mathematics and Informatics, University of Souk Ahras, P.O. Box 1553, Souk Ahras, 41000, AlgeriaApplied Mathematics Lab, Faculty of Sciences, Department of Mathematics, University of Annaba, P.O. Box 12, Annaba 23000, Algeria

Annals of Communications in Mathematics 2020, 3 (2), 139-151. https://doi.org/10.62072/acm.2020.030203

Received: 27 June 2020 |

Accepted: 28 July 2020 |

Published: 30 Jun 2020

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Abstract

The main purpose of this paper is to establish the global asymptotic stability of the zero solution of a class of nonlinear neutral integro-dynamic equations in C1 rd. Global asymptotic stability results are based on the Banach fixed point theorem. The results obtained here extend the work of Huang, Zhao and Liu [19].

Keywords

Fixed point theore; Global asymptotic stabilit; Neutral integro-dynamic equation; Time scale

Cite This Article

Abdelouaheb Ardjouni.

Study of the global asymptotic stability in nonlinear neutral integro-dynamic.

Annals of Communications in Mathematics

2020,

3 (2):

139-151.

https://doi.org/10.62072/acm.2020.030203

Copyright © 2020 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).