Oscillatory behavior of a fifth-order differential equation with unbounded neutral coefficients

Authors

  • John R. GRAEF Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, USA. Email: John-Graef@utc.edu. https://orcid.org/0000-0002-8149-4633
  • Hakan AVCI Department of Basic Sciences, Faculty of Engineering, Samsun University, Samsun, Turkey. Email: hakan.avci@samsun.edu.tr.
  • Osman ÖZDEMIR Department of Mathematics, Faculty of Arts and Sciences, Tokat Gaziosmanpaşa University, Tokat, Turkey. Email: osman.ozdemir@gop.edu.tr. https://orcid.org/0000-0002-9873-6360
  • Ercan TUNÇ Department of Mathematics, Faculty of Arts and Sciences, Tokat Gaziosmanpaşa University, Tokat, Turkey. Email: ercantunc72@yahoo.com. https://orcid.org/0000-0001-8860-608X

DOI:

https://doi.org/10.24193/subbmath.2023.4.10

Keywords:

Oscillation, fifth-order, neutral differential equation

Abstract

The authors study the oscillatory behavior of solutions to a class of fifth-order differential equations with unbounded neutral coefficients. The results are obtained by a comparison with first-order delay differential equations whose oscillatory characters are known. Two examples illustrating the results are provided, one of which is applied to Euler type equations.

Mathematics Subject Classification (2010): 34C10, 34K11, 34K40

Received 25 September 2020; Accepted 19 January 2021. Published Online: 2023-12-11 Published Print: 2023-12-30

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Published

2023-12-11

How to Cite

GRAEF, J. R., AVCI, H., ÖZDEMIR, O., & TUNÇ, E. (2023). Oscillatory behavior of a fifth-order differential equation with unbounded neutral coefficients. Studia Universitatis Babeș-Bolyai Mathematica, 68(4), 817–826. https://doi.org/10.24193/subbmath.2023.4.10

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