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 Reductionsof 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
