Oscillation theorems for higher order nonlinear difference equations (Q1331237)

The paper contains some new sufficient conditions for oscillation of all solutions to the nonlinear difference equation of the form \(\Delta^ m y(n) + q(n) f(y(n)) g(\Delta^{m - 1} y(n)) = 0\), \(m\) even. Here \(f,g : \mathbb{R} \backslash \{0\} \to \mathbb{R}\) and \(q : \mathbb{N} \to \mathbb{R}\).