A regularized trace of an even-order differential operator with bounded operator coefficient given in a finite interval

被引：1

作者：

Akgun, Fatma Aydin ^{[1
]}

Bayramoglu, Mamed ^{[2
]}

机构：

[1] Yildiz Tech Univ, Dept Math Engn, Istanbul, Turkiye

[2] NAS Azerbaijan, Inst Math & Mech, Baku, Azerbaijan

来源：

FILOMAT | 2023年 / 37卷 / 11期

关键词：

Regularized trace; Operator coefficient; Differential operator; EIGENVALUE;

D O I：

10.2298/FIL2311391A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we obtain a regularized trace formula of an even-order differential operator with a bounded operator coefficient given in a finite interval.

引用

页码：3391 / 3401

页数：11

共 50 条

[21] SPECTRUM OF A NON-SELFADJOINT DIFFERENTIAL EVEN-ORDER OPERATOR
GEKHTMAN, MM
DOKLADY AKADEMII NAUK SSSR, 1963, 150 (04): : 726 - &
[22] INVESTIGATION OF ONE CLASS OF EVEN-ORDER DIFFERENTIAL OPERATOR BUNDLES
GASYMOV, MG
MAGERRAMOV, AM
DOKLADY AKADEMII NAUK SSSR, 1982, 265 (02): : 277 - 280
[23] THE REGULARIZED TRACE OF STURM-LIOUVILLE OPERATOR ON A FINITE SEGMENT WITH UNBOUNDED OPERATOR COEFFICIENT
MAKSUDOV, FG
BAIRAMOGLY, M
ADYGEZALOV, AA
DOKLADY AKADEMII NAUK SSSR, 1984, 277 (04): : 795 - 799
[24] ON THE TRACE FORMULA FOR A DIFFERENTIAL OPERATOR OF SECOND ORDER WITH UNBOUNDED OPERATOR COEFFICIENT
Gul, Erdal
Ucuncu, Duygu
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2018, 9 (01): : 31 - 38
[25] SOME PROPERTIES OF ROOT FUNCTIONS OF AN ORDINARY EVEN-ORDER DIFFERENTIAL OPERATOR
MALOV, AA
DIFFERENTIAL EQUATIONS, 1994, 30 (12) : 1897 - 1902
[26] ON THE REGULARIZATION OF THE SPUR OF HIGH-ORDER DIFFERENTIAL OPERATOR WITH BOUNDED OPERATOR COEFFICIENT
ALMAMEDOV, MS
KATANOVA, VI
DOKLADY AKADEMII NAUK SSSR, 1991, 317 (04): : 777 - 781
[27] KREIN-VON NEUMANN EXTENSION OF AN EVEN ORDER DIFFERENTIAL OPERATOR ON A FINITE INTERVAL
Granovskyi, Yaroslav I.
Oridoroga, Leonid L.
OPUSCULA MATHEMATICA, 2018, 38 (05) : 681 - 698
[28] Formula for Regularized Trace of a Second Order Differential Operator with Involution
Polyakov D.M.
Journal of Mathematical Sciences, 2020, 251 (5) : 748 - 759
[29] A REGULARIZED TRACE FORMULA FOR SECOND ORDER DIFFERENTIAL OPERATOR EQUATIONS
Koklu, Kevser
Albayrak, Inci
Bayramov, Azad
MATHEMATICA SCANDINAVICA, 2010, 107 (01) : 123 - 138
[30] A second regularized trace formula for a higher order differential operator
Gul, Erdal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (06) : 5099 - 5109

← 1 2 3 4 5 →