Sturmian comparison theorem for hyperbolic equations on a rectangular prism
AIMS MATHEMATICS, vol.9, no.2, pp.4805-4815, 2024 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 9 Issue: 2
- Publication Date: 2024
- Doi Number: 10.3934/math.2024232
- Journal Name: AIMS MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
- Page Numbers: pp.4805-4815
- Ankara University Affiliated: No
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.