Existence Results for Nonoscillatory Solutions of Third Order Nonlinear Neutral Difference Equations

In this paper the authors consider the third order neutral difference equationequation* ^3 (x₍+p₍x₍-₊) +q₍f (x₍-) =h₍equation*where \ p₍\, \ q₍\, \h₍\ \ are real sequences. They use Krasnoselskii's fixed point theorem to establish the existence of nonoscillatory solutions. The results are illustrated with examples. 2000 Mathematics Subject Classification. 39A10