Sturmian comparison theorem for hyperbolic equations on a rectangular prism
AIMS MATHEMATICS, cilt.9, sa.2, ss.4805-4815, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 9 Sayı: 2
- Basım Tarihi: 2024
- Doi Numarası: 10.3934/math.2024232
- Dergi Adı: AIMS MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
- Sayfa Sayıları: ss.4805-4815
- Ankara Üniversitesi Adresli: Hayır
Özet
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.