Oscillation for nonlinear second order dynamic equations on a time scale

Abstract

We obtain some oscillation criteria for solutions to the nonlinear dynamic equation x Δ Δ + q ( t ) x Δ σ + p ( t ) ( f ○ x σ ) = 0 , on time scales. In particular, no explicit sign assumptions are made with respect to the coefficients p ( t ) , q ( t ) . We illustrate the results by several examples, including a superlinear Emden–Fowler dynamic equation.