Oscillation Behavior of Second Order Nonlinear Dynamic Equation with Damping on Time Scales

n this paper, we use Riccati transformation technique to establish some new oscillation criteria for the second order nonlinear dynamic equation with damping on time scales ( r ( t ) ( x Δ ( t ) ) α ) Δ − p ( t ) ( x Δ ( t ) ) α + q ( t ) f ( x ( t ) ) = 0. Our results not only generalize some existing results, but also can be applied to the oscillation problems that are not covered in literature. Finally, we give some examples to illustrate our main results.