Abstract:
Consider the following pair of even order linear dynamic equations on a time scale
(0.1) x(Delta n)(t) + p(t)x(t) = 0,
(0.2) x(Delta n)(t) + q(t)x(t) = 0, where p, q is an element of C-rd(T,R+), n is even, T is a time scale. In this paper, we obtain some point-wise and integral comparison theorems for the above equations. These will be shown to be "sharp" by means of specific examples.