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

Authors

  • John R. Graef University of Tennessee at Chattanooga, Department of Mathematics, Chattanooga, TN 37403, USA http://orcid.org/0000-0002-8149-4633
  • Hakan Avci Samsun University, Department of Basic Sciences, Faculty of Engineering, Samsun, Turkey
  • Osman Ozdemir Tokat Gaziosmanpașa University, Department of Mathematics, Faculty of Arts and Sciences, 60240, Tokat, Turkey
  • Ercan Tunc Tokat Gaziosmanpașa University, Department of Mathematics, Faculty of Arts and Sciences, 60240, Tokat, Turkey

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.

Author Biography

  • John R. Graef, University of Tennessee at Chattanooga, Department of Mathematics, Chattanooga, TN 37403, USA
    Professor, Department of Mathematics

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2023-12-10

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