Oscillation of Nonlinear Neutral Type Second Order Delay Difference Equations

In this paper we present some new oscillation criteria for second order nonlinear neutral type delay difference equation of the form Where, is a forward difference operator defined by x_n=x_(n+1)-x_n, n∈N(n_0 )=(n_(0,) n_0+1,?),〖 n〗_0 a nonnegative integer, k and are positive integers, α and β are the ratio of odd positive integers and are real sequences. Examples are provided to illustrate the results.