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Painleve Equations and Related Topics: Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011 (De Gruyter Proceedings in Mathematics) - Hardcover

Book 48 of 67: De Gruyter Proceedings in Mathematics
 
9783110275582: Painleve Equations and Related Topics: Proceedings of the International Conference, Saint Petersburg, Russia, June 17-23, 2011 (De Gruyter Proceedings in Mathematics)

Synopsis

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 differentialequations, Painlevé equations and their generalizations, Painlevé property, discrete Painlevé equations, properties of solutions of all mentioned above equations, reductions ofpartial differential equationsto Painlevé equations and their generalizations,ordinary differentialequation systems equivalent to Painlevé equations and their generalizations, and applications of the equations and the solutions.

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About the Author

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

From the Back Cover

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 proceedingspresentsthe whole spectrum of mathematical problems connected with Painlevé equations, all methods (old and new) of solution of ODEs, and some of the applications of Painlevé equations. 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, reductions of partial differential equations to Painlevé equations and their generalizations, ordinary differential equation systems equivalent to Painlevé equations and their generalizations, and applications of the equations and the solutions.

The book will be interesting and useful for mathematicians and physicists - from students up to lecturers, professors, and researchers.

"About this title" may belong to another edition of this title.