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## Proyecciones (Antofagasta)

##
*versión impresa* ISSN 0716-0917

### Proyecciones (Antofagasta) vol.38 no.1 Antofagasta mar. 2019

#### http://dx.doi.org/10.4067/S0716-09172019000100111

Articles

Asymptotic properties of solutions to third order neutral differential equations with delay

^{1}University of Oran 1 Ahmed Ben Bella, Department of Mathematics, 31000 Oran, Algeria, e-mail : oudjedi@yahoo.fr

^{2} University of Oran 1 Ahmed Ben Bella, Department of Mathematics, 31000 Oran, Algeria, e-mail : belaib-lekhmissi@yahoo.fr

^{3} University of Oran 1 Ahmed Ben Bella, Department of Mathematics, 31000 Oran, Algeria, e-mail : remilimous@gmail.com

This paper concerns the asymptotic properties of solutions of a class of third-order neutral differential equations with delay. We give sufficient conditions for every solution to be converges to zero, bounded and square integrable. An example is also given to illustrate the results.

**Keywords : **Uniform ultimate boundedness; square integrability; Lyapunov functional; neutral differential equation of third order

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Received: March 2018; Accepted: June 2018