Oscillation theorems for second-order advanced functional difference equations

Abstract We consider the second-order advanced functional difference equation Δ(a(n)Δχ(n)) + p(n)χ(g(n)) = 0 , where a ( n ) > 0, ∑ ∞ s=n 0 ( 1 a(s) ) = ∞ , p ( n ) ≥ 0, p ( n ) ≡ 0, g ( n ) ≥ n + 1, { g ( n )} is a monotone increasing integer sequence. We obtain some new oscillation criteria through an appropriate Riccati equation.