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**Bouzid Mansouri**

Faculty of Sciences,

Department of Mathematics,

University Annaba,

P.O. Box 12, Annaba

23000, Algeria

**Abdelouaheb Ardjouni**

Faculty of Sciences and Technology,

Department of Mathematics and Informatics,

University Souk Ahras,

P.O. Box 1553, Souk Ahras,

41000, Algeria

**Ahcene Djoudi**

Faculty of Sciences,

Department of Mathematics,

University Annaba,

P.O. Box 12, Annaba

23000, Algeria

In this work, we study the existence of positive periodic solutions for two types of third-order nonlinear neutral differential equations with variable coefficients. The results are established by using the Krasnoselskii's fixed point theorem. The results obtained here extend the work of Ren, Siegmund and Chen. Two examples are given to illustrate this work.

- differential equations
- fixed point
- positive periodic solutions
- third-order neutral

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