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## Proyecciones (Antofagasta)

##
*Print version* ISSN 0716-0917

### Proyecciones (Antofagasta) vol.34 no.2 Antofagasta June 2015

#### http://dx.doi.org/10.4067/S0716-09172015000200004

**On the stability and boundedness of certain third order non-autonomous differential equations of retarded type**

**Cemil Tunc**

Yuzuncu Yil University

Turkey

**ABSTRACT**

In this paper, based on the Lyapunov-Krasovskii functional approach, we obtain sufficient conditions which guarantee stability, uniformly stability, boundedness and uniformly boundedness of solutions of certain third order non- autonomous differential equations of retarded type. Our results complement and improve some recent ones.

Subjclass : [2010]34K20.

Keywords : Boundedness, stability, non-autonomous, retarded.

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Cemil Tunc

Department of Mathematics, Faculty of Sciences,

Yiizuncu Yil University, 65080, Van - Turkey Turkey

e-mail : cemtunc@yahoo.com

Received : October 2014. Accepted : April 2015