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ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

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Existence of Positive Periodic Solutions for Two Types of Third-order Nonlinear Neutral Differential Equations with Variable Coefficients

Author(s):

Bouzid Mansouri

Faculty of Sciences,
Department of Mathematics,
University Annaba,
P.O. Box 12, Annaba
23000, Algeria

mansouri.math@yahoo.fr

Abdelouaheb Ardjouni

Faculty of Sciences and Technology,
Department of Mathematics and Informatics,
University Souk Ahras,
P.O. Box 1553, Souk Ahras,
41000, Algeria

abd_ardjouni@yahoo.fr

Ahcene Djoudi

Faculty of Sciences,
Department of Mathematics,
University Annaba,
P.O. Box 12, Annaba
23000, Algeria

Abstract:

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.

Keywords

References:

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