Oscillation for a Class of Second-Order Emden-Fowler Delay Dynamic Equations on Time Scales

By means of Riccati transformation technique, we establish some new oscillation criteria for the second-order Emden-Fowler delay dynamic equations (rxΔ)Δ(t)+p(t)xγ(τ(t))=0 on a time scale 𝕋; here γ is a quotient of odd positive integers with r and p as real-valued positive rd-continuous functions defined on 𝕋. Our results in this paper not only extend the results given in Agarwal et al. (2005), Akin-Bohner et al. (2007) and Han et al. (2007) but also unify the results about oscillation of the second-order Emden-Fowler delay differential equation and the second-order Emden-Fowler delay difference equation.

Abstract licence: CC BY

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