Published May 1, 2021 | Version v1
Journal article

Spectral analysis of one class perturbed first order differential operators

  • 1. Department of Informatics and Methods of Teaching Mathematics, Voronezh State Pedagogical University, Lenina st. 86, 394043, Voronezh (Russian Federation)
  • 2. Department of Higher Mathematics and Mathematical Physical Modeling, Voronezh State Technical University, 20-letia Oktyabrya st. 14, 394006, Voronezh (Russian Federation)

Description

We use the method of similar operators to study a mixed problem for a first order differential equation with a fractional integration operator. The differential operator defined by the equation is transformed into a similar operator that is an orthogonal direct sum of finite-rank operators. The estimates of eigenvalues, eigenvectors are obtained. The result is used to construct an operator group. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-6596/1902/1/012035

Additional details

Publishing Information

Journal Title
Journal of Physics. Conference Series (Online)
Journal Volume
1902
Journal Issue
1
Journal Page Range
[9 p.]
ISSN
1742-6596

Conference

Title
International Conference on Applied Mathematics, Computational Science and Mechanics: Current Problems
Acronym
AMCSM 2020
Dates
7-9 Dec 2020
Place
Voronezh (Russian Federation)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
53082562
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
DIFFERENTIAL EQUATIONS; DIFFERENTIAL OPERATORS; EIGENVALUES; EIGENVECTORS
Descriptors DEC
EQUATIONS; MATHEMATICAL OPERATORS