Research articles

Existence of positive periodic solutions for fourth-order nonlinear neutral differential equations with variable coefficients

Bouzid Mansouri^a, Abdelouaheb Ardjouni^b, Ahcene Djoudi<sup>a

a</sup> Faculty of Sciences, Department of Mathematics, University of Annaba, P.O. Box 12, Annaba, 23000, Algeria
^b Faculty of Sciences and Technology, Department of Mathematics and Informatics, University of Souk Ahras, P.O. Box 1553, Souk Ahras, 41000, Algeria

Abstract: In this work, we study the existence of positive periodic solutions for fourth-order nonlinear neutral differential equations with variable coefficients. The results are established by using the Krasnoselskii's fixed point theorem. An example is given to illustrate this work.

Keywords and phrases: fixed point, positive periodic solutions, fourth-order neutral differential equations.

MSC: 34K13, 34A34, 34K30, 34L30

Received: 16.03.2018

Language: English