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Current Trends in Analysis and Its Applications

Proceedings of the 9th ISAAC Congress, Kraków 2013

  • Conference proceedings
  • © 2015

Overview

Editors:
  1. Vladimir V. Mityushev

    1. Dept. of Computer Sc. & Comp. Methods, Pedagogical University, Kraków, Poland

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    You can also search for this editor in PubMed   Google Scholar

  2. Michael V. Ruzhansky

    1. Imperial College London, London, United Kingdom

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    You can also search for this editor in PubMed   Google Scholar

  • Contains a wide selection of talks in analysis and its applications
  • Presents the mathematics in biomathematics, queueing models, scattering, fractured porous media, geomechanics and many more
  • Results are up-to-date with an outlook on future directions
  • Includes supplementary material: sn.pub/extras

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

Part of the book sub series: Research Perspectives (RESPERSP)

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Table of contents (93 papers)

  1. Front Matter

    Pages I-XVI
    Download chapter PDF

  2. Tributes

    1. Front Matter

      Pages 1-1
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    2. A Tribute to the 70th Birthday of Prof Saburou Saitoh

      • Tsutomu Matsuura
      Pages 3-4

    3. Sergei Rogosin: Achievements so Far and Further Plans

      • Maryna Dubatovskaya, Anna Koroleva, Gennady Mishuris
      Pages 5-7

  3. Differential Equations: Complex and Functional Analytic Methods, Applications

    1. Front Matter

      Pages 9-9
      Download chapter PDF

    2. The Degenerate Second-Order Elliptic Oblique Derivative Problem in a Domain with a Conical Boundary Point

      • Mariusz Bodzioch, Mikhail Borsuk
      Pages 11-18

    3. On Locally Differentiable Solutions of the Stationary Schrödinger Equation with Discontinuous Coefficients

      • K. N. Ospanov
      Pages 19-22

    4. Riemann Problems for Single-Periodic Polyanalytic Functions II

      • Wang Yufeng, Wang Yanjin
      Pages 23-32

    5. Riemann–Hilbert Problem for Multiply Connected Domains

      • Anna Tytuła
      Pages 33-40

    6. The Schottky–Klein Prime Function

      • Inez Badecka
      Pages 41-47

    7. Green Function of the Dirichlet Problem for the Laplacian and Inhomogeneous Boundary Value Problems for the Poisson Equation in a Punctured Domain

      • Baltabek Kanguzhin, Niyaz Tokmagambetov
      Pages 49-57

    8. Boundary Value Problems and Method of Reflection for Quarter Ring and Half Hexagon

      • B. Shupeyeva
      Pages 59-66

    9. Harmonic Dirichlet Problem in a Ring Sector

      • Ying Wang, Jinyuan Du
      Pages 67-75

    10. The Parqueting-Reflection Principle

      • Heinrich Begehr
      Pages 77-84

    11. On Existence of the Resolvent and Discreteness of the Spectrum of a Class of Differential Operators of Hyperbolic Type

      • M. B. Muratbekov, M. M. Muratbekov
      Pages 85-91

    12. On the Singularities of the Emden–Fowler Type Equations

      • Radosław Antoni Kycia, Galina Filipuk
      Pages 93-99

    13. Differential Equations with Degenerated Variable Operator at the Derivative

      • B. V. Loginov, Y. B. Rousak, L. R. Kim-Tyan
      Pages 101-108

    14. Cauchy Problem for a First Order Ordinary Differential System with Variable Coefficients

      • A. Tungatarov
      Pages 109-115

    15. General Solution of an n-th Order Linear Ordinary Differential Equation with Variable Coefficients

      • A. Tungatarov, B. Omarbayeva
      Pages 117-122

    16. About a Class of Two Dimensional Volterra Type Integral Equations with Singular Boundary Lines

      • Lutfya Rajabova
      Pages 123-131
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Keywords

About this book

This book is a collection of papers from the 9th International ISAAC Congress held in 2013 in Kraków, Poland. The papers are devoted to recent results in mathematics, focused on analysis and a wide range of its applications. These include up-to-date findings of the following topics:

- Differential Equations: Complex and Functional Analytic Methods

- Nonlinear PDE

- Qualitative Properties of Evolution Models

- Differential and Difference Equations

- Toeplitz Operators

- Wavelet Theory

- Topological and Geometrical Methods of Analysis

- Queueing Theory and Performance Evaluation of Computer Networks

- Clifford and Quaternion Analysis

- Fixed Point Theory

- M-Frame Constructions

- Spaces of Differentiable Functions of Several Real Variables

Generalized Functions

- Analytic Methods in Complex Geometry

- Topological and Geometrical Methods of Analysis

- Integral Transforms and Reproducing Kernels

- Didactical Approaches to Mathematical Thinking

Their wide applications in biomathematics, mechanics, queueing models, scattering, geomechanics etc. are presented in a concise, but comprehensible way, such that further ramifications and future directions can be immediately seen. 

Editors and Affiliations

  • Dept. of Computer Sc. & Comp. Methods, Pedagogical University, Kraków, Poland

    Vladimir V. Mityushev

  • Imperial College London, London, United Kingdom

    Michael V. Ruzhansky

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