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Research Article | Open Access

Sturmian comparison theorem for hyperbolic equations on a rectangular prism

Abdullah Özbekler1, Kübra Uslu İşler2, Jehad Alzabut1,3( )
Department of Industrial Engineering, OSTİM Technical University, Ankara, Türkiye
Department of Mathematics, Bolu Abant İzzet Baysal University, Bolu, Türkiye
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
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Abstract

In this paper, new Sturmian comparison results were obtained for linear and nonlinear hyperbolic equations on a rectangular prism. The results obtained for linear equations extended those given by Kreith [Sturmian theorems on hyperbolic equations, Proc. Amer. Math. Soc., 22 (1969), 277-281] in which the Sturmian comparison theorem for linear equations was obtained on a rectangular region in the plane. For the purpose of verification, an application was described using an eigenvalue problem.

Keywords

hyperbolic equationSturm comparisonrectangular prismoscillationeigenvalue problemhyperrectangle
CLC number: 34C10, 35L10, 35L20, 35L70

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AIMS Mathematics
Volume 9 Issue 2,
February 2024
Pages 4805-4815
DOI: 10.3934/math.2024232

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Cite this article:
Özbekler A, İşler KU, Alzabut J. Sturmian comparison theorem for hyperbolic equations on a rectangular prism. AIMS Mathematics, 2024, 9(2): 4805-4815. https://doi.org/10.3934/math.2024232

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Received: 03 September 2023
Revised: 22 December 2023
Accepted: 05 January 2024
Published: 15 February 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)