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Oscillation of Fourth-Order Nonlinear Semi-Canonical Neutral Difference Equations via Canonical Transformations

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  • P. Ganesan
  • G. Palani
  • John R. Graef
  • E. Thandapani
  • Agacik Zafer

Abstract

The authors present a new technique for transforming fourth-order semi-canonical nonlinear neutral difference equations into canonical form. This greatly simplifies the examination of the oscillation of solutions. Some new oscillation criteria are established by comparison with first-order delay difference equations. Examples are provided to illustrate the significance and novelty of the main results. The results are new even for the case of nonneutral difference equations.

Suggested Citation

  • P. Ganesan & G. Palani & John R. Graef & E. Thandapani & Agacik Zafer, 2024. "Oscillation of Fourth-Order Nonlinear Semi-Canonical Neutral Difference Equations via Canonical Transformations," Abstract and Applied Analysis, Hindawi, vol. 2024, pages 1-9, January.
    • Handle: RePEc:hin:jnlaaa:6682607
    DOI: 10.1155/2024/6682607
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