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Painlevé Equations and Related Topics

Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011

Ed. by Bruno, Alexander D. / Batkhin, Alexander B.

With contrib. by Adjabi, Yasin / Andreeva, Tatsyana K. / Artamonov, Dimitry V. / Babich, Mikhail V. / Batkhin, Alexander D. / Batkhina, Natalie V. / Bibilo, Yuliya P. / Brezhnev, Yurii V. / Bruno, Alexander D. / Damianou, Pantelis A. / Garifullin, Rustem N. / Golubeva, Valentina A. / Gontsov, Renat R. / Goryuchkina, Irina V. / Gromak, Valerii I. / Guzzetti, Davide / Iwaki, Kohei / Kazakov, Alexander Ya. / Kessi, Arezki / Korotkin, Dmitry / Leksin, Vladimir P. / Martynov, Ivan P. / Novikov, Dmitrii P. / Ohyama, Yousuke / Parusnikova, Anastasya V. / Pronko, Vyacheslav A. / Sasaki, Yoshikatsu / Slavyanov, Sergey Yu. / Takemura, Kouichi / Tsegel'nik, Vladimir / Vyugin, Ilya V. / Xenitidis, Pavlos / Zograf, Peter

Series:De Gruyter Proceedings in Mathematics

    149,95 € / $210.00 / £136.50*

    eBook (PDF)
    Publication Date:
    August 2012
    Copyright year:
    2012
    ISBN
    978-3-11-027566-7
    See all formats and pricing

    Overview

    Aims and Scope

    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 SteklovInstitute of Mathematicsof theRussian 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

    Details

    24.0 x 17.0 cm
    xiv, 272 pages
    25 Fig. 6 Tables
    Language:
    English
    Type of Publication:
    Monograph
    Keyword(s):
    Panilevé Equation; Ordinary Differential Equation; Painlevé Property

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    Alexander D. Bruno and Alexander B. Batkhin, Russian Academy of Sciences, Moscow, Russia.

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