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Operator Theory and Differential Equations

  • Conference proceedings
  • © 2021

Overview

Editors:
  1. Anatoly G. Kusraev

    1. Southern Mathematical Institute of Vladikavkaz Scientific Center, Russian Academy of Sciences, Vladikavkaz, Russia

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  2. Zhanna D. Totieva

    1. Southern Mathematical Institute of Vladikavkaz Scientific Center, Russian Academy of Sciences, Vladikavkaz, Russia

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    You can also search for this editor in PubMed   Google Scholar

  • Presents a wide range of new, topical and interesting problems in operator theory and its applications
  • Provides an excellent overview of the latest research in operator theory

Part of the book series: Trends in Mathematics (TM)

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Table of contents (22 papers)

  1. Front Matter

    Pages i-viii
    Download chapter PDF

  2. Extinction in a Finite Time for Parabolic Equations of Fast Diffusion Type on Manifolds

    • D. Andreucci, A. F. Tedeev
    Pages 1-6

  3. Inverse Problems in the Multidimensional Hyperbolic Equation with Rapidly Oscillating Absolute Term

    • P. V. Babich, V. B. Levenshtam
    Pages 7-23

  4. On the Brezis–Lieb Lemma and Its Extensions

    • E. Y. Emelyanov, M. A. A. Marabeh
    Pages 25-35

  5. On the Commutant of the Generalized Backward Shift Operator in Weighted Spaces of Entire Functions

    • O. A. Ivanova, S. N. Melikhov
    Pages 37-48

  6. Global Boundedness of Solutions of Continuous Social Stratification Model

    • A. Kazarnikov
    Pages 49-59

  7. Stochastic Test of a Minimal Surface

    • D. S. Klimentov
    Pages 61-67

  8. On Isomorphism of Some Functional Spaces under Action of Two-dimensional Singular Integral Operators

    • S. B. Klimentov
    Pages 69-77

  9. On One Class of Solutions of the Darboux System

    • R. C. Kulaev, A. B. Shabat
    Pages 79-89

  10. Boolean Valued Analysis: Background and Results

    • A. G. Kusraev, S. S. Kutateladze
    Pages 91-105

  11. Approximation Properties of Vallée Poussin Means for Special Series of Ultraspherical Jacobi Polynomials

    • M. G. Magomed-Kasumov
    Pages 107-120

  12. Laplace’s Integrals and Stability of the Open Flows of Inviscid Incompressible Fluid

    • A. Morgulis, K. Ilin, A. Chernish
    Pages 121-142

  13. Spectral Properties of Killing Vector Fields of Constant Length and Bounded Killing Vector Fields

    • Yu. G. Nikonorov
    Pages 143-154

  14. The Radon-Nikodým Theorem for Disjointness Preserving Orthogonally Additive Operators

    • M. Pliev, F. Polat
    Pages 155-161

  15. On the Continuous Linear Right Inverse for a Convolution Operator

    • D. A. Polyakova
    Pages 163-184

  16. Long Wavelength Asymptotics of Self-Oscillations of Viscous Incompressible Fluid

    • S. V. Revina
    Pages 185-203

  17. The Convergence of the Fourier–Jacobi Series in Weighted Variable Exponent Lebesgue Spaces

    • T. N. Shakh-Emirov, R. M. Gadzhimirzaev
    Pages 205-227

  18. Hyperbolic B-Potentials: Properties and Inversion

    • E. L. Shishkina
    Pages 229-258

  19. Some Properties of Sobolev Orthogonal Polynomials Associated with Chebyshev Polynomials of the Second Kind

    • M. S. Sultanakhmedov
    Pages 259-273

  20. Structure of Essential Spectrum and Discrete Spectrum of the Energy Operator of Five-Electron Systems in the Hubbard Model—Doublet States

    • S. M. Tashpulatov
    Pages 275-301
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Keywords

About this book

This volume features selected papers from The Fifteenth International Conference on Order Analysis and Related Problems of Mathematical Modeling, which was held in Vladikavkaz, Russia, on 15 - 20th July 2019. Intended for mathematicians specializing in operator theory, functional spaces, differential equations or mathematical modeling, the book provides a state-of-the-art account of various fascinating areas of operator theory, ranging from various classes of operators (positive operators, convolution operators, backward shift operators, singular and fractional integral operators, partial differential operators) to important applications in differential equations, inverse problems, approximation theory, metric theory of surfaces, the Hubbard model, social stratification models, and viscid incompressible fluids.


Editors and Affiliations

  • Southern Mathematical Institute of Vladikavkaz Scientific Center, Russian Academy of Sciences, Vladikavkaz, Russia

    Anatoly G. Kusraev, Zhanna D. Totieva

Bibliographic Information

  • Book Title: Operator Theory and Differential Equations

  • Editors: Anatoly G. Kusraev, Zhanna D. Totieva

  • Series Title: Trends in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-49763-7

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

  • Hardcover ISBN: 978-3-030-49762-0Published: 14 January 2021

  • Softcover ISBN: 978-3-030-49765-1Published: 14 January 2022

  • eBook ISBN: 978-3-030-49763-7Published: 13 January 2021

  • Series ISSN: 2297-0215

  • Series E-ISSN: 2297-024X

  • Edition Number: 1

  • Number of Pages: VIII, 341

  • Number of Illustrations: 6 b/w illustrations, 4 illustrations in colour

  • Topics: Operator Theory, Analysis, Functional Analysis, Differential Geometry

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