On the oscillation of certain third-order difference equations

Abstract

We establish some new criteria for the oscillation of third-order difference equations of the form ∆((1/a2(n))(∆(1/a1(n))(∆x(n))α1)α2) + δq(n) f (x[g(n)]) = 0, where ∆ is the for-ward difference operator defined by ∆x(n) = x(n+1) − x(n). 1.