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## Proyecciones (Antofagasta)

##
*Print version* ISSN 0716-0917

### Proyecciones (Antofagasta) vol.35 no.3 Antofagasta Sept. 2016

#### http://dx.doi.org/10.4067/S0716-09172016000300008

**Stability and boundedness in differential systems of third order with variable delay**

*Cemil Tunc *

*Yuzuncu University**, Turkey *

**ABSTRACT**

*In this paper, we consider a non-linear system of differential equations ofthird order with variable delay. We discuss the globally asymptotic stability/uniformly stability, boundedness and uniformly boundedness ofsolutionsfor the considered system. The technique ofproofs involves defining an appropriate Lyapunov functional. The obtained results include and improve the results in literature.*

**Keywords** : *Globally asymptotic stability, boundedness, Lyapunov functional, delay, differential system, third order.*

2010 Mathematics Subject Classifications : 34K12, 34K20.

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*Received : April 2016. Accepted : June 2016*

**Cemil Tunc**

Department of Mathematics

Faculty of Science

Yuzuncu Yil University

65080, Van-Turkey

Turkey

e-mail : cemtunc@yahoo.com