Opuscula Math. 40, no. 5 (2020), 629-639
https://doi.org/10.7494/OpMath.2020.40.5.629

 
Opuscula Mathematica

Oscillatory behavior of second-order damped differential equations with a superlinear neutral term

Ercan Tunç
Osman Özdemir

Abstract. This article concerns the oscillatory behavior of solutions to second-order damped nonlinear differential equations with a superlinear neutral term. The results are obtained by a Riccati type transformation as well as by an integral criterion. Examples illustrating the results are provided and some suggestions for further research are indicated.

Keywords: oscillation, second-order, neutral differential equation, damping term.

Mathematics Subject Classification: 34C10, 34K11, 34K40.

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  • Ercan Tunç (corresponding author)
  • ORCID iD https://orcid.org/0000-0001-8860-608X
  • Department of Mathematics, Faculty of Arts and Sciences, Tokat Gaziosmanpaşa University, 60240, Tokat, Turkey
  • Communicated by Josef Diblík.
  • Received: 2020-06-01.
  • Revised: 2020-07-09.
  • Accepted: 2020-07-09.
  • Published online: 2020-10-10.
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Cite this article as:
Ercan Tunç, Osman Özdemir, Oscillatory behavior of second-order damped differential equations with a superlinear neutral term, Opuscula Math. 40, no. 5 (2020), 629-639, https://doi.org/10.7494/OpMath.2020.40.5.629

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