A+ CATEGORY SCIENTIFIC UNIT

A note on oscillation of perturbed half-linear differential equations

Manabu Naito Annales Polonici Mathematici MSC: Primary 34C10 DOI: 10.4064/ap250525-17-11 Published online: 25 January 2026

Abstract

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. For a perturbed half-linear Riemann–Weber differential equation, new oscillation criteria are obtained.

Authors

  • Manabu NaitoDepartment of Mathematics
    Faculty of Science
    Ehime University
    790-8577 Matsuyama, Japan
    e-mail

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