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
收藏
页码：516 / 523
页数：8
相关论文
共 32 条
[1]   Discontinuous Boundary Value Problems with Retarded Argument and Eigenparameter-Dependent Boundary Conditions [J].
Akgun, Fatma Aydin ;
Bayramov, Azad ;
Bayramoglu, Mehmet .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2013, 10 (01) :277-288
[2]  
Albayrak I., 2000, METHODS FUNCT ANAL T, V6, P1
[3]  
[Anonymous], 1963, Differential-difference equations
[4]   A trace formula of a boundary value problem for the operator Sturm-Liouville equation [J].
Aslanova, N. M. .
SIBERIAN MATHEMATICAL JOURNAL, 2008, 49 (06) :959-967
[5]  
Aslanova N. M., 2006, T NAS AZERBAIJAN, VXXVI, P39
[6]  
Badalova K. H., 2012, Transactions of Azerbaijan National Academy of Sciences, P29
[7]   Retarded differential equations [J].
Baker, CTH .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 125 (1-2) :309-335
[8]  
Bayramoglu M, 2017, ELECTRON J DIFFER EQ
[9]   Computation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument [J].
Bayramov, A. ;
Uslu, S. Oeztuerk ;
Caliskan, S. Kizilbudak .
APPLIED MATHEMATICS AND COMPUTATION, 2007, 191 (02) :592-600
[10]  
DIKIY LA, 1958, AM MATH SOC T, V18, P81
1234