Positive periodic solutions in neutral nonlinear differential equations

We use Krasnoselskii's fixed point theorem to show that the nonlinear neutral differential equation with delay \begin{equation} \frac{d}{dt}[x(t) - ax(t-\tau)]= r(t)x(t)- f(t, x(t-\tau)) \end{equation} has a positive periodic solution. An example will be provided as an application to our theor...

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Bibliographic Details
Main Author: Youssef Raffoul
Format: Article
Language:English
Published: University of Szeged 2007-09-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=276