Mathematics (Aug 2021)

Noncanonical Neutral DDEs of Second-Order: New Sufficient Conditions for Oscillation

  • Awatif A. Hindi,
  • Osama Moaaz,
  • Clemente Cesarano,
  • Wedad R. Alharbi,
  • Mohamed A. Abdou

DOI
https://doi.org/10.3390/math9172026
Journal volume & issue
Vol. 9, no. 17
p. 2026

Abstract

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In this paper, new oscillation conditions for the 2nd-order noncanonical neutral differential equation (a0t((ut+a1tug0t)′)β)′+a2tuβg1t=0, where t≥t0, are established. Using Riccati substitution and comparison with an equation of the first-order, we obtain criteria that ensure the oscillation of the studied equation. Furthermore, we complement and improve the previous results in the literature.

Keywords