OSCILLATION RESULTS FOR SECOND ORDER NEUTRAL DYNAMIC EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS

In this paper, we establish some new criteria for the oscillation of the second-order nonlinear neutral dynamic equations with distributed deviating arguments of the form (r(t) vertical bar Y-Delta(t)vertical bar(gamma-1) y(Delta)(t))(Delta) + integral(b)(a) f(t, x(theta(t, xi)))Delta xi = 0 on a time scale T, where y(t) := x(t) +p(t)x(r(t)), gamma >= 1 is a constant, r(t), p(t) are rd-continuous functions on T, and f : T x R -> R is continuous. The results obtained are illustrated with a number of examples.