TY - JOUR
AU - Ardjouni, A.
AU - Djoudi, A.
PY - 2013/08/12
Y2 - 2021/11/30
TI - EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR A NONLINEAR NEUTRAL DIFFERENCE EQUATION WITH VARIABLE DELAY
JF - Journal of Nonlinear Analysis and Optimization: Theory & Applications
JA - J. Nonlinear Anal. Optim.
VL - 4
IS - 2
SE -
DO -
UR - http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/280
SP - 31-38
AB - <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>
ER -