Nonoscillatory Solutions for System of Delay Difference Equations on Time Scales

In this paper, we consider certain system of delay difference equations $$ Delta{y_{1}(n)} = p(n)y_{2}(n)~~~~~~~ $$ $$ Delta{y_{2}(n)} = -f(n,y_{1}(g(n)))$$ where $p(n)in C[N_{0},R^{+}]$,~$yf(n,y)geq{0}$,~$fin{C[N_{0} imes{R},R]}$,~$ysuplimits_{ngeq{n_{0}}}mid f(n,y)mid>0$ for any $y eq0$,~$g(n)in C[N_{0},R]$,~$g(n)leq n$.