Oscillation of a second-order linear delay dynamic equation

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Abstract

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.

Original languageEnglish
Pages (from-to)423-432
Number of pages10
JournalCommunications in Applied Analysis
Volume16
Issue number3
StatePublished - Jul 2012

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