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A Comparison Theorem for Oscillation of the Even‐Order Nonlinear Neutral Difference Equation

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  • Quanxin Zhang

Abstract

A comparison theorem on oscillation behavior is firstly established for a class of even‐order nonlinear neutral delay difference equations. By using the obtained comparison theorem, two oscillation criteria are derived for the class of even‐order nonlinear neutral delay difference equations. Two examples are given to show the effectiveness of the obtained results.

Suggested Citation

  • Quanxin Zhang, 2014. "A Comparison Theorem for Oscillation of the Even‐Order Nonlinear Neutral Difference Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:492492
    DOI: 10.1155/2014/492492
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    References listed on IDEAS

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    1. G. Ladas & Ch. G. Philos & Y. G. Sficas, 1989. "Sharp conditions for the oscillation of delay difference equations," International Journal of Stochastic Analysis, Hindawi, vol. 2, pages 1-11, January.
    2. G. Ladas & C. Qian, 1992. "Comparison results and linearized oscillations for higher-order difference equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 15, pages 1-14, January.
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