Oscillation and nonoscillation of quasilinear difference equations of second order

Abstract

In this paper the authors establish conditions for the oscillatory and nonoscillatory behavior of solutions of second order quasilinear difference equations Δ(an -1 |Δyn -1|α-1 Δyn -1) + qn f(yn) = 0 and Δ(an -1 |Δyn -1|α-1 Δyn -1) + qn f(yn -λ) = 0 when {qn}, {an} and the function f satisfy different type of conditions. Examples are inserted to illustrate our results