Mathematics (Sep 2021)

New Improved Results for Oscillation of Fourth-Order Neutral Differential Equations

  • Osama Moaaz,
  • Rami Ahmad El-Nabulsi,
  • Ali Muhib,
  • Sayed K. Elagan,
  • Mohammed Zakarya

DOI
https://doi.org/10.3390/math9192388
Journal volume & issue
Vol. 9, no. 19
p. 2388

Abstract

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In this study, a new oscillation criterion for the fourth-order neutral delay differential equation ruxu+puxδu‴α′+quxβϕu=0,u≥u0 is established. By introducing a Riccati substitution, we obtain a new criterion for oscillation without requiring the existence of the unknown function. Furthermore, the new criterion improves and complements the previous results in the literature. The results obtained are illustrated by an example.

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