OSCILLATION OF DELAY DYNAMIC EQUATIONS WITH OSCILLATING COEFFICIENTS

Abstract

In this paper, we study the following delay dynamic equation x(Delta)(t)+p(t)x(tau(t)) = 0 for t epsilon [t(0), infinity)(T), where t(0) is an element of T sup T = infinity, p is an element of C-rd([t(0), infinity)(T,) R) alternates in sign infinitely many times and tau is an element of C-rd([t(0), infinity)(T,) T) is a strictly increasing unbounded function satisfying tau(t) <= t for all t is an element of [t(0), infinity)(T). Our results extend recent results for arbitrary time scales.