Oscillation of second-order dynamic equations
by Raegan Higgins
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 3, No. 1/2, 2011

Abstract: In this paper, we consider the second-order nonlinear dynamic equations (p(t)yΔ(t))Δ + q(t)f(y(τ(t))) = 0 and (p(t)yΔ(t))Δ + q(t)f(yσ (t)) = 0 on an isolated time scale T. Our first goal is to establish a relationship between the oscillatory behaviour of these equations. Here we assume that τ : 𝕋 → 𝕋. We also give two results about the behaviour of the linear form of the latter equation on a general time scale that is unbounded above. We use the Riccati transformation technique to obtain our results.

Online publication date: Sat, 24-Jan-2015

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