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Functional Analysis in Interdisciplinary Applications

Astana, Kazakhstan, October 2017

  • Tynysbek Sh. Kalmenov
  • Erlan D. Nursultanov
  • Michael V. Ruzhansky
  • Makhmud A. Sadybekov
Conference proceedings FAIA 2017

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 216)

Table of contents

  1. Front Matter
    Pages i-xxix
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  2. Theory of Functions and Functional Spaces

    1. Front Matter
      Pages 1-1
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    2. On Evolution of Invariant Riemannian Metricson Generalized Wallach Spaces Under the Normalized Ricci Flow
      Nurlan Abiev
      Pages 2-22
    3. Hyperbolic Cross Approximation of Some Multivariate Function Classes with Respect to Wavelet System with Compact Supports
      Sholpan A. Balgimbayeva
      Pages 23-31
    4. Hyperbolic Cross Approximation of Some Function Classes with Respect to Multiple Haar System on the Unit Cube
      Dauren B. Bazarkhanov
      Pages 32-43
    5. Compactness of Commutators for One Type of Singular Integrals on Generalized Morrey Spaces
      Nurzhan Bokayev, Dauren Matin
      Pages 44-51
    6. On Multipliers from Weighted Sobolev Spaces to Lebesgue Spaces
      Leili Kussainova, Aigul Myrzagaliyeva
      Pages 52-57
    7. Some New Fourier Multiplier Results of Lizorkin and Hörmander Types
      Erlan Nursultanov, Lyazzat Sarybekova, Nazerke Tleukhanova
      Pages 58-82
    8. Four-Dimensional Generalized Difference Matrix and Almost Convergent Double Sequence Spaces
      Orhan Tuǧ
      Pages 83-87
    9. The Marcinkiewicz Theorem on the Multipliers of Fourier Series for Weighted Lebesgue Spaces
      Nazerke Tleukhanova
      Pages 88-96

  3. Differential Equations and Boundary Value Problems

    1. Front Matter
      Pages 97-97
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    2. Periodic Solution of Linear Autonomous Dynamic System
      Serikbai A. Aisagaliev, Zhanat Kh. Zhunussova
      Pages 98-105
    3. On Solvability of Third-Order Singular Differential Equation
      Raya D. Akhmetkaliyeva
      Pages 106-112
    4. Solvability of Multipoint-Integral Boundary Value Problem for a Third-Order Differential Equation and Parametrization Method
      Anar T. Assanova, Askarbek E. Imanchiev
      Pages 113-122
    5. On the Solvability of Nonhomogeneous Boundary Value Problem for the Burgers Equation in the Angular Domain and Related Integral Equations
      Meiramkul M. Amangaliyeva, Muvasharkhan T. Jenaliyev, Minzilya T. Kosmakova, Murat I. Ramazanov
      Pages 123-141
    6. On Algorithm of Finding Solutions of Semiperiodical Boundary Value Problem for Systems of Nonlinear Hyperbolic Equations
      Symbat S. Kabdrakhova
      Pages 142-157
    7. On a Solution of a Nonlinear Semi-periodic Boundary Value Problem for a Differential Equation with Arbitrary Functions
      Nurgul T. Orumbayeva, Gulmira Sabitbekova
      Pages 158-163
    8. An Analogue of the Schwarz Problem for the Moisil–Teodorescu System
      Viktor A. Polunin, Alexandr P. Soldatov
      Pages 164-170
    9. On an Ill-Posed Problem for the Laplace Operator with Data on the Whole Boundary
      Berikbol T. Torebek
      Pages 171-178
    10. Operator Method for Constructing a Solution of a Class of Linear Differential Equations of Fractional Order
      Batirkhan Kh. Turmetov
      Pages 179-193

  4. Differential and Integral Operators and Spectral Theory

    1. Front Matter
      Pages 194-194
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    2. On Degenerate Boundary Conditions for Operator \(D^4\)
      Azamat M. Akhtyamov
      Pages 195-203
    3. Stability of a Hyperbolic Equation with the Involution
      Allaberen Ashyralyev, Abdizhahan M. Sarsenbi
      Pages 204-212
    4. Relatively Bounded Perturbations of Correct Restrictions and Extensions of Linear Operators
      Bazarkan N. Biyarov, Gulnara K. Abdrasheva
      Pages 213-221
    5. Regular Sturm-Liouville Operators with Integral Perturbation of Boundary Condition
      Nurlan S. Imanbaev, Makhmud A. Sadybekov
      Pages 222-234
    6. A Boundary Condition of the Volume Potential for Strongly Elliptic Differential Equations
      Tynysbek Sh. Kal’menov, Bolys Sabitbek
      Pages 235-244
    7. Estimates for Root Functions of a Singular Second-Order Differential Operator
      Leonid V. Kritskov
      Pages 245-257
    8. A Sturm-Liouville Operator with a Negative Parameter and Its Applications to the Study of Differential Properties of Solutions for a Class of Hyperbolic Type Equations
      Mussakan B. Muratbekov, Madi M. Muratbekov, Asijat N. Dadaeva
      Pages 258-266
    9. Remark on a Regularized Trace Formula for m-Laplacian in a Punctured Domain
      Gulzat Nalzhupbayeva, Niyaz Tokmagambetov
      Pages 267-271
    10. Internal Boundary Value Problems for the Laplace Operator with Singularity Propagation
      Daulet B. Nurakhmetov, Almir A. Aniyarov
      Pages 272-288
    11. Spectral Properties of Degenerate High-Order Differential Operator
      Kordan N. Ospanov
      Pages 289-294
    12. On Compactness of Resolvent of a First Order Singular Differential Operator in Bounded Vector-Valued Function Space
      Myrzagali N. Ospanov
      Pages 295-301
    13. Some Reverse Hölder Type Inequalities Involving \((k,s)-\)Riemann-Liouville Fractional Integrals
      Muharrem Tomar, Praveen Agarwal, Shilpi Jain, Gradimir V. Milovanović
      Pages 302-311
    14. Volterra Type Integral Equation with Super-Singular Kernels
      Nusrat Rajabov
      Pages 312-319
    15. Isoperimetric Inequalities for Some Integral Operators Arising in Potential Theory
      Michael Ruzhansky, Durvudkhan Suragan
      Pages 320-329
    16. Initial-Boundary Value Problem for a Heat Equation with not Strongly Regular Boundary Conditions
      Makhmud A. Sadybekov
      Pages 330-348
    17. On S-Number Inequalities of Triangular Cylinders for the Heat Operator
      Tynysbek Kal’menov, Aidyn Kassymov, Durvudkhan Suragan
      Pages 349-362
    18. On Some Equations on Non-smooth Manifolds: Canonical Domains and Model Operators
      Vladimir B. Vasilyev
      Pages 363-375

  5. Mathematical Methods in Physical Sciences

    1. Front Matter
      Pages 376-376
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    2. Electromagnetic Field and Constriction Resistance of the Ring-Shaped Contact
      Stanislav N. Kharin, Merey M. Sarsengeldin, Samat A. Kassabek
      Pages 377-381
    3. Inverse Problem for 1D Pseudo-parabolic Equation
      Khonatbek Khompysh
      Pages 382-387
    4. Solution of an Inverse Two Phase Spherical Stefan Test Problem
      Merey M. Sarsengeldin, Targyn A. Nauryz, Nazerke T. Bizhigitova, Alibek M. Orinbasar
      Pages 388-392
    5. Generically Semistable Linear Quiver Sheaves
      Alexander H. W. Schmitt
      Pages 393-415
    6. On Construction of the Force Function in the Presence of Random Perturbations
      Marat I. Tleubergenov, Darkhan T. Azhymbaev
      Pages 416-422
    7. An Inverse Coefficient Problem for a Quasilinear Parabolic Equation of High Order
      Asal V. Yuldasheva
      Pages 423-429
    8. Fundamental Solutions of Biot Equations for Moving Loads
      Gulmira K. Zakiryanova
      Pages 430-436
    9. On Instability of a Program Manifold of Basic Control Systems
      Sailaubay S. Zhumatov
      Pages 437-443
    10. Geometric Approach to Domain Wall Solution
      Zhanat Kh. Zhunussova
      Pages 444-450
  6. Back Matter
    Pages 451-456
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About these proceedings

Introduction

This volume presents current research in functional analysis and its applications to a variety of problems in mathematics and mathematical physics. The book contains over forty carefully refereed contributions to the conference “Functional Analysis in Interdisciplinary Applications” (Astana, Kazakhstan, October 2017). Topics covered include the theory of functions and functional spaces; differential equations and boundary value problems; the relationship between differential equations, integral operators and spectral theory; and mathematical methods in physical sciences.

Presenting a wide range of topics and results, this book will appeal to anyone working in the subject area, including researchers and students interested to learn more about different aspects and applications of functional analysis.

Keywords

functional analysis theory of functions differential equations partial differential equations integral equations spectral theory boundary value problems mathematical physics MSC (2010): 46–XX, 26Axx, 26Bxx, 34Bxx, 34Kxx, 35–XX

Editors and affiliations

  • Tynysbek Sh. Kalmenov
    • 1
  • Erlan D. Nursultanov
    • 2
  • Michael V. Ruzhansky
    • 3
  • Makhmud A. Sadybekov
    • 4
  1. 1.Institute of Mathematics and Mathematical ModelingAlmatyKazakhstan
  2. 2.Department of Mechanics and MathematicsKazakhstan Branch of Lomonosov Moscow State UniversityAstanaKazakhstan
  3. 3.Department of MathematicsImperial College LondonLondonUnited Kingdom
  4. 4.Institute of Mathematics and Mathematical ModelingAlmatyKazakhstan

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-67053-9
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-67052-2
  • Online ISBN 978-3-319-67053-9
  • Series Print ISSN 2194-1009
  • Series Online ISSN 2194-1017
  • Buy this book on publisher's site
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