AIMS Mathematics (Mar 2021)

Oscillation theorems for higher order dynamic equations with superlinear neutral term

  • Said R. Grace,
  • Jehad Alzabut,
  • Kamaleldin Abodayeh

DOI
https://doi.org/10.3934/math.2021325
Journal volume & issue
Vol. 6, no. 6
pp. 5493 – 5501

Abstract

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In this paper, several oscillation criteria for a class of higher order dynamic equations with superlinear neutral term are established. The proposed results provide a unified platform that adequately covers both discrete and continuous equations and further sufficiently comments on oscillatory behavior of more general class of equations than the ones reported in the literature. We conclude the paper by demonstrating illustrative examples.

Keywords