On oscillations of solutions of second order nonlinear difference equations

Journal of Mathematical Sciences, 189(5) (2013), 784-794
http://dx.doi.org/10.1007/s10958-013-1218-8

We consider the difference equation TeX where TeX , and the difference operator is defined as follows: TeX . Necessary conditions are obtained for the above equation to have a positive solution. In addition, oscillation criteria of new type are obtained