OSCILLATION OF SECOND-ORDER NONLINEAR DYNAMIC EQUATIONS ON TIME SCALES

By using the functions of the form H(t, s) and a generalized Riccati technique, we establish new Kamenev-type and interval oscillation criteria for second-order nonlinear dynamic equations on time scales of the form

                         ( p(t)x^∆(t) )^∆ + f( t, x(σ(t)) ) = 0.

The obtained interval oscillation criteria can be applied to equations with forcing term. Two examples are included to show the significance of the results.