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

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  • Govindasamy Ayyappan
  • Gunasekaran Nithyakala

Abstract

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.

Suggested Citation

  • Govindasamy Ayyappan & Gunasekaran Nithyakala, 2018. "Some Oscillation Results for Even Order Delay Difference Equations with a Sublinear Neutral Term," Abstract and Applied Analysis, John Wiley & Sons, vol. 2018(1).
    • Handle: RePEc:wly:jnlaaa:v:2018:y:2018:i:1:n:2590158
    DOI: 10.1155/2018/2590158
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    References listed on IDEAS

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    1. Yaşar Bolat & Jehad Alzabut, 2014. "On the Oscillation of Even-Order Half-Linear Functional Difference Equations with Damping Term," International Journal of Differential Equations, Hindawi, vol. 2014, pages 1-6, May.
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