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Philos-Type Oscillation Criteria For Second Order Half-Linear Dynamic Equations On Time Scales, Ravi P. Agarwal, Donal O'Regan, Samir H. Saker
Philos-Type Oscillation Criteria For Second Order Half-Linear Dynamic Equations On Time Scales, Ravi P. Agarwal, Donal O'Regan, Samir H. Saker
Mathematics and System Engineering Faculty Publications
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. Copyright © 2007 Rocky Mountain Mathematics Consortium.