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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

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

  • DOI https://doi.org/10.1007/978-3-319-12577-0
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-12576-3
  • Online ISBN 978-3-319-12577-0
  • Series Print ISSN 2297-0215
  • Series Online ISSN 2297-024X
  • Buy this book on publisher's site
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