On the Nature of Solutions of Neutral Differential Equations with Periodic Coefficients

Authors

Cemil Tunc, Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, 65080, Van, TurkeyFollow
Yener Altun, Ahmet Yurtsever Technical High School, 65100, Van , TurkeyFollow

Author Country (or Countries)

Turkey

Abstract

By this work, we construct certain specific assumptions guaranteeing the asymptotic stability (AS) of trivial solution to a retarded linear neutral differential equation with periodic coefficients, and we estimate the decay rate of the solutions of the considered equation. To reach the desirable results, we benefit from a Lyapunov functional. We give an example to show applicability of the constructed assumptions and use MATLAB-Simulink to show the behaviors of the paths of the solutions of the considered equation.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110206

Recommended Citation

Tunc, Cemil and Altun, Yener (2017) "On the Nature of Solutions of Neutral Differential Equations with Periodic Coefficients," Applied Mathematics & Information Sciences: Vol. 11: Iss. 2, Article 6.
DOI: http://dx.doi.org/10.18576/amis/110206
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss2/6