Riccati techniques and discrete oscillations (Q1262471)

The paper deals with the oscillatory and nonoscillatory properties of the self-adjoint second-order difference equation \(\Delta (r_ n\Delta x_ n)+p_ nx_{n+1}=0,\) \(n\geq 0\) where \(\Delta\) is the forward difference operator \(\Delta x_ n=x_{n+1}-x_ n,\) and \(r_ n,p_ n\) are sequences of real numbers with \(r_ n>0,\) \(n=0,1,2\).