Philos-type oscillation criteria for second order half-linear dynamic equations on time scales

In this paper we establish some oscillation theorems for the second order half-linear dynamic equation (r(t)(x ^Δ(t) ^γ) ^Δ + p(t)x ^γ(t) = 0, ∈ [a,b], on time scales. Special cases of our results include some well-known oscillation results for second-order differential and half-linear differential equations. Our results are new for difference, generalized difference and q difference half-linear equations.