@article{Özbekler2024, 
author = {Abdullah Özbekler and Kübra Uslu İşler and Jehad Alzabut},
title = {Sturmian comparison theorem for hyperbolic equations on a rectangular prism},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {2},
pages = {4805-4815},
keywords = {hyperbolic equation, Sturm comparison, rectangular prism, oscillation, eigenvalue problem, hyperrectangle},
url = {https://www.sciopen.com/article/10.3934/math.2024232},
doi = {10.3934/math.2024232},
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.}
}