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.
  • Received: 2018-02-08.
  • Accepted: 2018-04-01.
  • Published online: 2018-08-07.
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Cite this article as:
John R. Graef, Said R. Grace, Ercan Tunç, Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term, Opuscula Math. 39, no. 1 (2019), 39-47, https://doi.org/10.7494/OpMath.2019.39.1.39

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