Advances in Difference Equations
Volume 2006 (2006), Article ID 65626, 9 pages
doi:10.1155/ADE/2006/65626

Oscillation of second-order neutral delay and mixed-type dynamic equations on time scales

Abstract

We consider the equation (r(t)(yΔ(t))γ)Δ+f(t,x(δ(t)))=0, t∈T, where y(t)=x(t)+p(t)x(τ(t)) and γ 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 τ(t) and δ(t), t∈T.