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 ? (t) ] ?} ? ? + f (t,x ( (t) ) ) = 0, on a time scale T, where ? > 0 is a quotient of odd positive integers, a and r are positive rd-continuous functions on Tand the so-called delay function T : T --> T satisfies T (t) ? tand T(t) --> ? as t --> ?, f ? C(TXR, R) is assumed to satisfy uf (tu) > 0, for u ? 0 and there exists a positive rd-continuous function p on T such that f (t, u)/u? ? p(t), for u ? 0. We establish some new results. Some examples are considered to illustrate the main results. 2010 Mathematics Subject Classication: 39A21, 34C10, 34K11, 34N0