Electronic Journal of Qualitative Theory of Differential Equations (Jul 2024)

Oscillation criteria for perturbed half-linear differential equations

  • Manabu Naito

DOI
https://doi.org/10.14232/ejqtde.2024.1.38
Journal volume & issue
Vol. 2024, no. 38
pp. 1 – 18

Abstract

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Oscillatory properties of perturbed half-linear differential equations are investigated. We make use of the modified Riccati technique. A certain linear differential equation associated with the modified Riccati equation plays an important part. Improved oscillation criteria for a perturbed half-linear Riemann–Weber differential equation can be obtained.

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