New oscillation criteria for second-order neutral dynamic equations on time scales via Riccati substitution

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Abstract

In this paper, we consider the second-order nonlinear neutral functional Dynamic equation on a time scale T and establish some new su‰cient conditions for oscillation. Our Results improve oscillation results for neutral delay dynamic equations on time scales and are new when δ(t) > t and/or 0 < γ < 1. Furthermore our results can be applied on the time scales is the set of harmonic numbers, etc.

Original languageEnglish
Pages (from-to)77-98
Number of pages22
JournalHiroshima Mathematical Journal
Volume42
Issue number1
DOIs
Publication statusPublished - Mar 2012

Keywords

  • Oscillation
  • Second-order neutral dynamic equation
  • Time scales

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