Details

<p>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.</p>
<p>The survey articles discuss the following topics:</p>
<ul>
<li>General ordinary differential equations </li>
<li>Painlevé equations and their generalizations </li>
<li>Painlevé property </li>
<li>Discrete Painlevé equations </li>
<li>Properties of solutions of all mentioned above equations:<br>– Asymptotic forms and asymptotic expansions<br>– Connections of asymptotic forms of a solution near different points<br>– Convergency and asymptotic character of a formal solution<br>– New types of asymptotic forms and asymptotic expansions<br>– Riemann-Hilbert problems<br>– Isomonodromic deformations of linear systems<br>– Symmetries and transformations of solutions<br>– Algebraic solutions </li>
<li>Reductions of PDE to Painlevé equations and their generalizations </li>
<li>Ordinary Differential Equations systems equivalent to Painlevé equations and their generalizations </li>
<li>Applications of the equations and the solutions</li>
</ul>