Spectral analysis of a differential operator with an involution

被引：28

作者：

Baskakov, Anatoly G. ^{[1
]}

Krishtal, Ilya A. ^{[2
]}

Romanova, Elena Yu. ^{[1
]}

机构：

[1] Voronezh State Univ, Dept Appl Math & Mech, Voronezh 394693, Russia

[2] Northern Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2017年 / 17卷 / 02期

基金：

美国国家科学基金会;

关键词：

Spectral asymptotic analysis; Method of similar operators; PERTURBATION;

D O I：

10.1007/s00028-016-0332-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the method of similar operators to perform the asymptotic analysis of the spectrum of a differential operator with an involution. We show that such operators have compact resolvent, and that their large eigenvalues are determined by the values of (the Fourier coefficients) of their potential up to a summable sequence.

引用

页码：669 / 684

页数：16

共 50 条

[21] Green's function of the second order differential operator with involution
Ashyralyev, Allaberen
Sarsenbi, Abdisalam A.
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016), 2016, 1759
[22] Formula for Regularized Trace of a Second Order Differential Operator with Involution
Polyakov D.M.
Journal of Mathematical Sciences, 2020, 251 (5) : 748 - 759
[23] Jordan-Dirichlet Theorem for Functional Differential Operator with Involution
Burlutskaya, M. Sh.
IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA, 2013, 13 (03): : 9 - 14
[24] The Spectral Analysis of a Nuclear Resolvent Operator Associated with a Second Order Dissipative Differential Operator
Ekin Uğurlu
Elgiz Bairamov
Computational Methods and Function Theory, 2017, 17 : 237 - 253
[25] The Spectral Analysis of a Nuclear Resolvent Operator Associated with a Second Order Dissipative Differential Operator
Ugurlu, Ekin
Bairamov, Elgiz
COMPUTATIONAL METHODS AND FUNCTION THEORY, 2017, 17 (02) : 237 - 253
[26] Spectral Properties of the Cauchy Problem for a Second-Order Operator with Involution
Kritskov, L., V
Ioffe, V. L.
DIFFERENTIAL EQUATIONS, 2021, 57 (01) : 1 - 10
[27] Spectral Properties of the Cauchy Problem for a Second-Order Operator with Involution
L. V. Kritskov
V. L. Ioffe
Differential Equations, 2021, 57 : 1 - 10
[28] Spectral Analysis of Operator Polynomials and Second-Order Differential Operators
A. G. Baskakov
D. B. Didenko
Mathematical Notes, 2020, 108 : 477 - 491
[29] Spectral analysis of an even order differential operator with square integrable potential
Polyakov, Dmitry M.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (05) : 5483 - 5504
[30] Spectral Analysis of Operator Polynomials and Second-Order Differential Operators
Baskakov, A. G.
Didenko, D. B.
MATHEMATICAL NOTES, 2020, 108 (3-4) : 477 - 491

← 1 2 3 4 5 →