AIMS Mathematics (Nov 2024)

On the oscillation of solutions of third-order differential equations with non-positive neutral coefficients

  • A. A. El-Gaber ,
  • M. M. A. El-Sheikh,
  • M. Zakarya,
  • Amirah Ayidh I Al-Thaqfan,
  • H. M. Rezk

DOI
https://doi.org/10.3934/math.20241548
Journal volume & issue
Vol. 9, no. 11
pp. 32257 – 32271

Abstract

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The oscillation property of third-order differential equations with non-positive neutral coefficients is discussed. New sufficient conditions are provided to guarantee that every solution of the considered equation is almost oscillatory. Both the canonical and non-canonical cases are considered. Illustrative examples are introduced to support the obtained results.

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