Sturmian comparison theorem for hyperbolic equations on a rectangular prism

被引：1

作者：

Ozbekler, Abdullah ^{[1
]}

Isler, Kuebra Uslu ^{[2
]}

Alzabut, Jehad ^{[1
,2
,3
]}

机构：

[1] OSTIM Tech Univ, Dept Ind Engn, Ankara, Turkiye

[2] Bolu Abant Izzet Baysal Univ, Dept Math, Bolu, Turkiye

[3] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia

来源：

AIMS MATHEMATICS | 2024年 / 9卷 / 02期

关键词：

hyperbolic equation; Sturm comparison; rectangular prism; oscillation; eigenvalue problem; hyperrectangle; PARTIAL-DIFFERENTIAL-EQUATIONS; PICONE-TYPE IDENTITY;

D O I：

10.3934/math.2024232

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：4805 / 4815

页数：11

共 16 条

[1] New approach on conventional solutions to nonlinear partial differential equations describing physical phenomena [J].