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EXISTENCE OF POSITIVE PERIODIC SOLUTIONS OF FIRST-ORDER NEUTRAL DIFFERENTIAL EQUATIONS
Journal article   Peer reviewed

EXISTENCE OF POSITIVE PERIODIC SOLUTIONS OF FIRST-ORDER NEUTRAL DIFFERENTIAL EQUATIONS

Ali Rezaiguta, Abdelouaheb Ardjouni and Ahcene Djoudi
Honam mathematical journal, Vol.40(1), pp.1-11
01/03/2018
DOI: https://doi.org/10.5831/HMJ.2018.40.1.1

Abstract

Mathematics Physical Sciences Science & Technology
We use Krasnoselskii's fixed point theorem to show that the neutral differential equation d/dt [x (t) - a (t) x (tau (t))] + p (t) x (t) + q (t) x (tau (t)) = 0, t >= t(0), has a positive periodic solution. Some examples are also given to illustrate our results. The results obtained here extend the work of Olach [13].

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