%0 Journal Article %T Necessary and sufficient conditions for oscillation of first order neutral delay difference equations %A A. Murgesan %A P. Sowmiya %J - %D 2015 %R 10.14419/gjma.v3i2.4560 %X In this paper, we obtained some necessary and sufficient conditions for oscillation of all the solutions of the first order neutral delay difference equation with constant coefficients of the form \begin{equation*} \quad \quad \quad \quad \Delta[x(n)-px(n-\tau)]+qx(n-\sigma)=0, \quad \quad n\geq n_0 \quad \quad \quad \quad \quad \quad {(*)} \end{equation*} by constructing several suitable auxiliary functions. Some examples are also given to illustrate our results. %U https://www.sciencepubco.com/index.php/GJMA/article/view/4560