Krein Extension of an Even-Order Differential Operator

被引：0

作者：

Ya. I. Granovskyi

L. L. Oridoroga

机构：

[1] Institute of Applied Mathematics and Mechanics,

[2] Donetsk National University,undefined

来源：

Differential Equations | 2018年 / 54卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We describe the Krein extension of the minimal operator associated with the expression A:= (−1)nd2n/dx2n on the interval [a, b] in terms of boundary conditions. We also describe all nonnegative extensions of the operator A and extensions with finitely many negative squares.

引用

页码：551 / 556

页数：5

共 50 条

[1] Krein Extension of an Even-Order Differential Operator
Granovskyi, Ya. I.
Oridoroga, L. L.
DIFFERENTIAL EQUATIONS, 2018, 54 (04) : 551 - 556
[2] Spectral properties of an even-order differential operator
Polyakov, D. M.
DIFFERENTIAL EQUATIONS, 2016, 52 (08) : 1098 - 1103
[3] Spectral properties of an even-order differential operator
D. M. Polyakov
Differential Equations, 2016, 52 : 1098 - 1103
[4] 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
[5] THE KREIN-VON NEUMANN EXTENSION OF A REGULAR EVEN ORDER QUASI-DIFFERENTIAL OPERATOR
Cho, Minsung
Hoisington, Seth
Nichols, Roger
Udall, Brian
OPUSCULA MATHEMATICA, 2021, 41 (06) : 805 - 841
[6] SPECTRUM OF A NON-SELFADJOINT DIFFERENTIAL EVEN-ORDER OPERATOR
GEKHTMAN, MM
DOKLADY AKADEMII NAUK SSSR, 1963, 150 (04): : 726 - &
[7] INVESTIGATION OF ONE CLASS OF EVEN-ORDER DIFFERENTIAL OPERATOR BUNDLES
GASYMOV, MG
MAGERRAMOV, AM
DOKLADY AKADEMII NAUK SSSR, 1982, 265 (02): : 277 - 280
[8] SOME PROPERTIES OF ROOT FUNCTIONS OF AN ORDINARY EVEN-ORDER DIFFERENTIAL OPERATOR
MALOV, AA
DIFFERENTIAL EQUATIONS, 1994, 30 (12) : 1897 - 1902
[9] The Null Space Pursuit Algorithm based on an Arbitrary Even-Order Differential Operator
Xiao, W. W.
Guo, Y. X.
PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON INDUSTRIAL TECHNOLOGY AND MANAGEMENT SCIENCE (ITMS 2015), 2015, 34 : 436 - 438
[10] A regularized trace of an even-order differential operator with bounded operator coefficient given in a finite interval
Akgun, Fatma Aydin
Bayramoglu, Mamed
FILOMAT, 2023, 37 (11) : 3391 - 3401

← 1 2 3 4 5 →