@article{Ardjouni_Djoudi_2013, title={EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR A NONLINEAR NEUTRAL DIFFERENCE EQUATION WITH VARIABLE DELAY}, volume={4}, url={http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/280}, abstractNote={<p>In this paper, we study the existence of positive periodic solutions of the nonlinear neutral difference equation with variable delay<br>$x(n+ 1) =a(n)x(n) +\triangle g(n,x(nâˆ’\tau(n))) +f(n,x(nâˆ’\tau(n)))$.<br>The main tool employed here is the Krasnoselskii’s hybrid fixed point theorem dealing with a sum of two mappings, one is a contraction and the other is completely continuous. The results obtained here generalize the work of Raffoul and Yankson [7].</p>}, number={2}, journal={Journal of Nonlinear Analysis and Optimization: Theory & Applications}, author={Ardjouni, A. and Djoudi, A.}, year={2013}, month={Aug.}, pages={31-38} }