Nonoscillation and oscillation of solutions of a class of third order difference equations

摘要

In this paper, sufficient conditions are obtained for nonoscillation/oscillation of all solutions of a class of nonlinear third order difference equations of the form Delta(a) (p(n)Delta(2)(a) y(n) ) + q(n) Delta(2)(a) y(n) = f (n, y(n), Delta(a) y(n), Delta(2)(a) y(n)) involving the generalized difference operator Delta (a) which is defined as Delta(a) y(n) y(n+1) - ay(n) , a not equal 0. (c) 2007 Published by Elsevier Inc.