• Painlevé Equations and Related Topics
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Painlevé Equations and Related Topics

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The series is aimed specifically at publishing peer-reviewed reviews and contributions presented at conferences, workshops, and international seminars as well as edited volumes commemorating and ho...
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  • 17 August 2012
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This is a proceedings of the international conference "Painlevé Equations and Related Topics" which was taking place at the Euler International Mathematical Institute, a branch of the Saint Petersburg Department of the Steklov Institute of Mathematics of the Russian Academy of Sciences, in Saint Petersburg on June 17 to 23, 2011.

The survey articles discuss the following topics:

  • General ordinary differential equations
  • Painlevé equations and their generalizations
  • Painlevé property
  • Discrete Painlevé equations
  • Properties of solutions of all mentioned above equations:
    – Asymptotic forms and asymptotic expansions
    – Connections of asymptotic forms of a solution near different points
    – Convergency and asymptotic character of a formal solution
    – New types of asymptotic forms and asymptotic expansions
    – Riemann-Hilbert problems
    – Isomonodromic deformations of linear systems
    – Symmetries and transformations of solutions
    – Algebraic solutions
  • Reductions of PDE to Painlevé equations and their generalizations
  • Ordinary Differential Equations systems equivalent to Painlevé equations and their generalizations
  • Applications of the equations and the solutions
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Price: $320.00
Pages: 286
Publisher: De Gruyter
Imprint: De Gruyter
Publication Date: 17 August 2012
ISBN: 9783110275582
Format: Hardcover
BISACs: MAT027000 MATHEMATICS / Research, MAT034000 MATHEMATICS / Mathematical Analysis
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Alexander D. Bruno and Alexander B. Batkhin, Russian Academy of Sciences, Moscow, Russia.