On oscillatory and asymptotic behavior of fourth order non-linear neutral delay dynamic equations

摘要

In this paper, oscillatory and asymptotic property of solutions of a class of nonlinear fourth order neutral dynamic equations of the form and where T is a time scale such that sup T =∞, t_0 ∈ T have been studied under the assumption f~∞_(t_0) t/r(t)△t = ∞ for various ranges of p(t). Sufficient conditions are obtained for the existence of bounded positive solutions of (NH) by using Schauder's fixed point theorem.