Sturmian comparison theorem for hyperbolic equations on a rectangular prism-Reference-Cited by-同舟云学术

Sturmian comparison theorem for hyperbolic equations on a rectangular prism

Published:2024 Issue:2 Volume:9 Page:4805-4815
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Özbekler Abdullah¹,İşler Kübra Uslu²,Alzabut Jehad¹³

Affiliation:

1. Department of Industrial Engineering, OSTİM Technical University, Ankara, Türkiye

2. Department of Mathematics, Bolu Abant İzzet Baysal University, Bolu, Türkiye

3. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Abstract

<abstract><p>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, <italic>Proc. Amer. Math. Soc.</italic>, <bold>22</bold> (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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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