EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR A NONLINEAR NEUTRAL DIFFERENCE EQUATION WITH VARIABLE DELAY
In this paper, we study the existence of positive periodic solutions of the nonlinear neutral difference equation with variable delay
$x(n+ 1) =a(n)x(n) +\triangle g(n,x(nâˆ’\tau(n))) +f(n,x(nâˆ’\tau(n)))$.
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 .
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