Oscillation results for higher order nonlinear neutral delay difference equations

AbstractIn this work, we shall consider higher order nonlinear neutral delay difference equation of the type Δm(yn+pnyn−l)+qnyn−kα=0, where {pn},{qn} are sequences of nonnegative real numbers, k and l are positive integers and α∈(0,1) is a ratio of odd positive integers. We obtain sufficient conditions for the oscillations of all solutions of this equation