Oscillation of higher order neutral type nonlinear difference equations with forcing terms

In this manuscript, we study oscillatory behaviour of the following forced nonlinear difference equation:Δm(yn+pnyn-σ)+qnf(yn-τ)=rn.Δm(yn+pnyn-σ)+qnf(yn-τ)=rn.Unlike to the most of the existing results in the literature, we give some new criteria which do not depend on the usual restrictions on the terms pnpn, qnqn and rnrn. We consider the cases where pnpn is eventually of fixed sign and oscillatory, and qnqn is of eventually fixed sign and oscillatory. We also give various numerical simulations by using the MATLAB programming to support the results.