Oscillation of Second-Order Neutral Delay and Mixed-Type Dynamic Equations on Time Scales

Abstract

We consider the equation (r(t)(y(Delta)(t))(gamma))(Delta) + f (t, x(delta(t))) = 0, t is an element of T, where y(t) = x(t) + p(t) x(t(t)) and. is a quotient of positive odd integers. We present some sufficient conditions for neutral delay and mixed-type dynamic equations to be oscillatory, depending on deviating arguments tau(t) and delta(t), t is an element of T. Copyright (c) 2006 Y. Sahiner.