In this paper, we consider the second order linear dynamic equation (p(t)y△(t))△ + q(t)y(τ(i)) = 0 on a time scale T. Our goal is to establish some new oscillation results for this equation. Here we assume that r(t) ≤ t and τ : T - T. We apply results from the theory of lower and upper solutions for related dynamic equations along with some additional estimates on positive solutions.
|Number of pages||10|
|Journal||Communications in Applied Analysis|
|State||Published - Jul 2012|