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: Dmðyn þ pnyn rÞ þ qnf ðyn sÞ ¼ 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 pn, qn and rn. We consider the cases where pn is eventually of fixed sign and oscillatory, and qn is of eventually fixed sign and oscillatory. We also give various numerical simulations by using the MATLAB programming to support the results.