Oscillation Results for Third Order Nonlinear Delay Dynamic Equations on Time Scales

In this paper, we consider the third order nonlinear delay dynamic equations (a(t){[r(t)x^Δ(t)]Δ}γ)^Δ+f(t,x(τ(t)))=0, on a time scale T, where γ 0 is a quotient of odd positive integers, a and r are positive rd-continuous functions on T, and the so-called delay function τ:T→T satisfies τ(t)≤t, and τ(t)→∞ as t→∞, f∈C(T×R,R) is assumed to satisfy uf(t,u) 0, for u≠0 and there exists a positive rd-continuous function p on T such that f(t,u)/u^γ≥p(t), for u≠0. We establish some new results. Some examples are considered to illustrate the main results.