Bruno, Alexander.D (Ed.)
Painleve Equations and related topics Proceedings of the international conference, Saint Petersburg, Russia, June 17-23, 2011 - Berlin De Gruyter 2012 - xiv, 272p - Proceedings in Mathematics .
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
"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
9783110275582 (HB)
Differential Equations Ordinary
Conference papers and proceedings
517.9 / BRU
Painleve Equations and related topics Proceedings of the international conference, Saint Petersburg, Russia, June 17-23, 2011 - Berlin De Gruyter 2012 - xiv, 272p - Proceedings in Mathematics .
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
"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
9783110275582 (HB)
Differential Equations Ordinary
Conference papers and proceedings
517.9 / BRU