Abstract and Applied Analysis (Jan 2018)

Some Oscillation Results for Even Order Delay Difference Equations with a Sublinear Neutral Term

  • Govindasamy Ayyappan,
  • Gunasekaran Nithyakala

DOI
https://doi.org/10.1155/2018/2590158
Journal volume & issue
Vol. 2018

Abstract

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In this paper, some new results are obtained for the even order neutral delay difference equation ΔanΔm-1xn+pnxn-kα+qnxn-lβ=0, where m≥2 is an even integer, which ensure that all solutions of the studied equation are oscillatory. Our results extend, include, and correct some of the existing results. Examples are provided to illustrate the importance of the main results.