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Existence of positive periodic solutions for fourth-order nonlinear neutral differential equations with variable delay
Journal article   Peer reviewed

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

Abdelouaheb Ardjouni, Ali Rezaiguia and Ahcene Djoudi
Advances in nonlinear analysis, Vol.3(3), pp.157-163
01/08/2014
DOI: https://doi.org/10.1515/anona-2013-0029

Abstract

34A34 34K13 34K30 34L30 fixed point theorem nonlinear neutral differential equations Positive periodic solutions
In this article we study the existence of positive periodic solutions for a fourth-order nonlinear neutral differential equation with variable delay. The main tool employed here is the Krasnoselskii's fixed point theorem dealing with a sum of two mappings, one is a contraction and the other one is completely continuous.

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