Wong's comparison theorem for second order linear dynamic equations on time scales (Q953520)

By means of a Riccati integral equation on time scales, the author establishes a ``Wong-type'' comparison theorem for second order dynamic equations on time scales. As a particular application of the obtained results, he proves that the difference equation \[ \Delta^2 x(n)+b\frac{(-1)^n}{n^c} x(n +1) = 0 \] is oscillatory for constants \(b \neq 0\) and \(c < 1\).