| Description |
1 online resource (xiv, 272 pages) : illustrations. |
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text file |
| Series |
De Gruyter proceedings in mathematics
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Proceedings in mathematics.
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| Bibliography |
Includes bibliographical references. |
| Contents |
1. Plane power geometry for one ODE and P₁-P₆ / Alexander D. Bruno -- 2. New simple exact solutions to equation P₆ / Alexander B. Batkhin and Natalia V. Vatkhina -- 3. Convergence of a formal solution to an ODE / Irina V. Goryuchkina -- 4. Asymptotic expansions and forms of solutions to P₆ / Irina V. Goryuchkina -- 5. Asymptotic expansions of solutions to P₅ / Anastasia V. Parusnikova -- 6. Space power geometry for one ODE and P₁-P₄, P₆ / Alexander D. Bruno -- 7. Elliptic and periodic asymptotic forms of solutions to P₅ / Alexander D. Bruno and Anastasia V. Parusnikova -- 8. Regular asymptotic expansions of solutions to one ODE and P₁-P₅ / Alexander D. Bruno -- 9. Isomonodromic deformations on Riemann surfaces / Dmitry V. Artamonov -- 10. On birational darboux coordinates of isomonodromic deformation equations phase space / Mikhail V. Babich -- 11. On the malgrange isomonodromic deformations of nonresonant irregular systems / Yuliya P. Bibilo and Renat R. Gontsov -- 12. Critical behavior of P₆ functions from the isomonodromy deformations approach / Davide Guzzetti -- 13. Isomonodromy deformation of the Heun class equation / Alexander Ya. Kazakov -- 14. Isomonodromy deformations and hypergeometric-type systems / Vladimir P. Leksin -- 15. A monodromy problem connected with P₆ / Dmitrii P. Novikov -- 16. Monodromy evolving deformations and confluent Halphen's systems / Yousuke Ohyama -- 17. On the gauge transformation of the sixth Painlevé equation -- 18. Expansions for solutions of the Schlesinger equation at a singular point / Ilya V. Vyugin -- 19. Painlevé analysis of Lotka-Volterra equations / Pantelis A. Damianou -- 20. Painlevé test and Briot-Bouquet systems / Evgenii Gricuk and Valerii Gromak -- 21. Solutions of the Chazy system / Valerii Gromak -- 22. Third-order ordinary differential equations with the Painlevé test / Yasin Adjabi and Arezki Kessi -- 23. Analytic properties of solutions of a class of third-order equations with an irrational right-had side / Ivan P. Martynov, Vyacheslav A. Pronko and Tatsyana K. Andreeva -- 24. The sixth Painlevé transcendent and uniformizable orbifolds / Yueii V. Brezhnev -- 25. On uniformizable representation for abelian integrals / Yurii V. Brezhnev -- 26. Phase shift for a special solution to the Korteweg-de Vries equation in the Whitham zone / Rustem N. Garifullin -- 27. Vuchsian reduction of differential equations / Valentina A. Golubeva -- 28. The Voros coefficient and the parametric Stokes phenomenon for the second Painlevé equation / Kohei Iwaki -- 29. Integral symmetry and the deformed hypergeometric equation / Alexander Ya. Kazakov -- 30. Integral symmetries for confluent Heun equations and symmetries of Painlevé equation P₅ / Alexander Ya. Kazakov and Sergey Yu. Slavyanov -- 31. From the tau function of Painlevé P₆ to moduli spaces / Dmitry Korotkin and Peter Zograf -- 32. On particular solutions of q-Painlevé equations and q-hypergeometric equations / Yousuke Ohyama -- 33. Derivation of Painlevé equations by antiquantization / Sergey Yu. Slavyanov -- 34. Integral transformation of Heun's equation and apparent singularity / Kouichi Takemura -- 35. Painlevé's analysis of solutions to some nonlinear differential equations and their systems associated with models of the random-matrix type / Vladimir Tsegelʹnik -- 36. Reductions on the lattice and Painlevé equations P₂, P₅, P₆ / Pavlos Xenitidis. |
| Summary |
"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"--Publisher's website. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Painlevé equations -- Congresses.
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Painlevé equations. |
| Genre/Form |
Electronic books.
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Conference papers and proceedings.
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Conference papers and proceedings.
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| Added Author |
Bri͡uno, Aleksandr Dmitrievich, editor.
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Batkhin, Alexander B., editor.
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| Other Form: |
Print version: Painlevé equations and related topics. Berlin : De Gruyter, [2012] 9783110275582 (DLC) 2012025419 (OCoLC)798612585 |
| ISBN |
9783110275582 (Cloth) |
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3110275589 (Cloth) |
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9783110275667 (e-book) |
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311027566X (e-book) |
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9783110275674 (set (hardcover + e-book) |
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3110275678 (set (hardcover + e-book) |
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9781283628419 |
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1283628414 |
| Standard No. |
9786613940865 |
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