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(t)) )Δ + p(t)x(t) = 0, t ∈ [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.

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