Abstract
In this article we study the oscillation of solutions to the third order nonlinear functional dynamic equation
L-3(x(t)) + Sigma(n)(i=0) p(i)(t)Psi(k)alpha(k)i(x(h(i)(t))) = 0,
on an arbitrary time scale T. Here
L-0(x(t)) = x(t), L-k(x(t)) = ([L(k-1)x(t)](Delta)/a(k)(t))(gamma kk), k = 1, 2, 3
with a(1), a(2) positive rd-continuous functions on T and a(3) 1; the functions p(i) are nonnegative rd-continuous on T and not all p(i)(t) vanish in a neighborhood of infinity; psi(k)c(u) = vertical bar u vertical bar(c-1)u, c > 0. Our main results extend known results and are illustrated by examples.