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Current Trends in Analysis and Its Applications

Proceedings of the 9th ISAAC Congress, Kraków 2013

  • Vladimir V. Mityushev
  • Michael V. Ruzhansky
Conference proceedings

Part of the Trends in Mathematics book series (TM)

Also part of the Research Perspectives book sub series (RESPERSP)

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Tributes

    1. Front Matter
      Pages 1-1
    2. Maryna Dubatovskaya, Anna Koroleva, Gennady Mishuris
      Pages 5-7
  3. Differential Equations: Complex and Functional Analytic Methods, Applications

    1. Front Matter
      Pages 9-9
    2. Inez Badecka
      Pages 41-47
    3. Ying Wang, Jinyuan Du
      Pages 67-75
    4. Heinrich Begehr
      Pages 77-84
    5. Radosław Antoni Kycia, Galina Filipuk
      Pages 93-99
    6. B. V. Loginov, Y. B. Rousak, L. R. Kim-Tyan
      Pages 101-108
    7. Anastasia A. Usova, Alexander M. Tarasyev
      Pages 133-142
  4. Spaces of Differentiable Functions of Several Real Variables and Applications

  5. Qualitative Properties of Evolution Models

  6. Nonlinear PDE and Control Theory

    1. Front Matter
      Pages 271-271
    2. Neal Bez, Chris Jeavons, Nikolaos Pattakos
      Pages 281-288
    3. Zhanat Zhunussova
      Pages 289-297
    4. Pei Pei, Mohammad A. Rammaha, Daniel Toundykov
      Pages 307-314
    5. Tijana Levajković, Hermann Mena
      Pages 315-322
  7. Topological and Geometrical Methods

About these proceedings

Introduction

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.  

Keywords

applications of mathematics biomathematics complex variables partial differential equations theoretical mechanics

Editors and affiliations

  • Vladimir V. Mityushev
    • 1
  • Michael V. Ruzhansky
    • 2
  1. 1.Dept. of Computer Sc. & Comp. MethodsPedagogical UniversityKrakówPoland
  2. 2.Imperial College LondonLondonUnited Kingdom

Bibliographic information