On the oscillatory behaviour of a class of nonlinear delay difference equations of second order

Abstract

In this paper, sufficient conditions have been obtained for oscillation of all solutions of a class of nonlinear neutral delay difference equations of the form δ(r(n)δ (y(n) + p(n)y(n ? m))) + q(n)G(y(n ? k)) = 0 under various ranges of p(n). The nonlinear function G,G ∈ C(R,R) is either sublinear or superlinear satisfying the condition xG(x) > 0 for x ≢ 0. © Indian National Science Academy.