REGULARIZED TRACE FORMULA FOR STURM-LIOUVILLE PROBLEM WITH RETARDED ARGUMENT AND QUADRATICALLY EIGENPARAMETER-DEPENDENT BOUNDARY CONDITION

被引：0

作者：

Hira, F. ^{[1
]}

Altinisik, N. ^{[2
]}

机构：

[1] Hitit Univ, Fac Arts & Sci, Dept Math, Corum, Turkey

[2] Ondokuz Mayis Univ, Fac Arts & Sci, Dept Math, Samsun, Turkey

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2022年 / 12卷 / 02期

关键词：

Differential equation with retarded argument; trace formula; asymptotics of eigenvalues; OPERATORS; EIGENVALUES; DISCONTINUITIES; EIGENFUNCTIONS; COMPUTATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a regularized trace formula for a discontinuous Sturm-Liouville equation with retarded argument is obtained for the case in which the spectral parameter occurs linearly in the equation and one of the boundary conditions and quadratically in the other one. The contour integration method is used to obtain that trace formula.

引用

页码：516 / 523

页数：8