Oscillation and Asymptotic Behavior of Second Order Difference Equations

Abstract The oscillation of the second order difference equation Δ(c n Δy n ) + p n y v n + 1 = 0, n = 0, 1, 2, ... (1.1) is investigated, where Δyn = yn + 1 − yn, v is a quotient of odd positive integers. Some necessary and sufficient conditions for oscillation of (1.1) with v > 1 and v