Painlevé Equations and Related Topics: Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011

ISBN-13: 9783110275582 / Angielski / Twarda / 2012 / 286 str.

Alexander D. Bruno; Alexander B. Batkhin; Yasin Adjabi

Opis

This is a proceedings of the international conference "Painleve 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
• Painleve equations and their generalizations
• Painleve property
• Discrete Painleve 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 Painleve equations and their generalizations
• Ordinary Differential Equations systems equivalent to Painleve equations and their generalizations
• Applications of the equations and the solutions

O autorze

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