Opuscula Math. 39, no. 1 (2019), 39-47
https://doi.org/10.7494/OpMath.2019.39.1.39

Opuscula Mathematica

# Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term

John R. Graef
Said R. Grace
Ercan Tunç

Abstract. The authors present a new technique for the linearization of even-order nonlinear differential equations with a sublinear neutral term. They establish some new oscillation criteria via comparison with higher-order linear delay differential inequalities as well as with first-order linear delay differential equations whose oscillatory characters are known. Examples are provided to illustrate the theorems.

Keywords: oscillatory behavior, neutral differential equation, even-order.

Mathematics Subject Classification: 34C10, 34K11.

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• Communicated by Josef Diblík.
• Accepted: 2018-04-01.
• Published online: 2018-08-07.