Painlevé equations and related topics : proceedings of the international conference, Saint Petersburg, Russia, June 17-23, 2011 /
"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 Scien...
Clasificación: | Libro Electrónico |
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Otros Autores: | , |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Berlin :
De Gruyter,
[2012]
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Colección: | Proceedings in mathematics.
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.