Stability and Ultimate Boundedness for Non- Autonomous System with Variable Delay

Authors

Ayman M. Mahmoud, Department of Mathematics, Faculty of Science, New Valley University, El-Khargah 72511, EgyptFollow
Cemil Tunc ̧, Department of Mathematics, Faculty of Science, Van Yuzuncu Yil University, 65080, Van, TurkeyFollow

Author Country (or Countries)

Turkey

Abstract

In this paper, we investigate proper sufficient conditions for the uniform stability (US) of the zero solution, and for the uniform boundedness (UB) as well as uniform ultimate boundedness (UUB) of all solutions of a certain system of nonlinear non- autonomous third-order differential equation (DE) with variable delay. In the proofs, the method of Lyapunov functional (LF) approach is employed as a main tool and two examples are presented in the last section to show feasibility of the established results which improve the results of the previous pieces of literature.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140309

Recommended Citation

M. Mahmoud, Ayman and Tunc ̧, Cemil (2020) "Stability and Ultimate Boundedness for Non- Autonomous System with Variable Delay," Applied Mathematics & Information Sciences: Vol. 14: Iss. 3, Article 9.
DOI: http://dx.doi.org/10.18576/amis/140309
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss3/9