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Painlevé equations and related topics [[electronic resource] ] : proceedings of the international conference, Saint Petersburg, Russia, June 17-23, 2011 / / edited by Alexander D. Bruno, Alexander B. Batkhin
| Painlevé equations and related topics [[electronic resource] ] : proceedings of the international conference, Saint Petersburg, Russia, June 17-23, 2011 / / edited by Alexander D. Bruno, Alexander B. Batkhin |
| Pubbl/distr/stampa | Berlin, : De Gruyter, [2012] |
| Descrizione fisica | 1 online resource (288 p.) |
| Disciplina | 515/.352 |
| Altri autori (Persone) |
Bri͡unoAleksandr Dmitrievich
BatkhinAlexander B |
| Collana | De Gruyter proceedings in mathematics |
| Soggetto topico | Painlevé equations |
| Soggetto non controllato |
Ordinary Differential Equation
Painlevé Property Panilevé Equation |
| ISBN |
1-283-62841-4
9786613940865 3-11-027566-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Part I. Plane Power Geometry -- Chapter 1. Plane Power Geometry for One ODE and P1-P6 / Bruno, Alexander D. -- Chapter 2. New Simple Exact Solutions to Equation P6 / Batkhin, Alexander B. / Batkhina, Natalia V. -- Chapter 3. Convergence of a Formal Solution to an ODE / Goryuchkina, Irina V. -- Chapter 4. Asymptotic Expansions and Forms of Solutions to P6 / Goryuchkina, Irina V. -- Chapter 5. Asymptotic Expansions of Solutions to P5 / Parusnikova, Anastasia V. -- Part II. Space Power Geometry -- Chapter 6. Space Power Geometry for one ODE and P1-P4, P6 / Bruno, Alexander D. -- Chapter 7. Elliptic and Periodic Asymptotic Forms of Solutions to P5 / Bruno, Alexander D. / Parusnikova, Anastasia V. -- Chapter 8. Regular Asymptotic Expansions of Solutions to One ODE and P1-P5 / Bruno, Alexander D. -- Part III. Isomondromy Deformations -- Chapter 9. Isomonodromic Deformations on Riemann Surfaces / Artamonov, Dmitry V. -- Chapter 10. On Birational Darboux Coordinates of Isomonodromic Deformation Equations Phase Space / Babich, Mikhail V. -- Chapter 11. On the Malgrange Isomonodromic Deformations of Nonresonant Irregular Systems / Bibilo, Yuliya P. / Gontsov, Renat R. -- Chapter 12. Critical behavior of P6 Functions from the Isomonodromy Deformations Approach / Guzzetti, Davide -- Chapter 13. Isomonodromy Deformation of the Heun Class Equation / Kazakov, Alexander Ya. -- Chapter 14. Isomonodromy Deformations and Hypergeometric-Type Systems / Leksin, Vladimir P. -- Chapter 15. A Monodromy Problem Connected with P6 / Novikov, Dmitrii P. -- Chapter 16. Monodromy Evolving Deformations and Confluent Halphen's Systems / Ohyama, Yousuke -- Chapter 17. On the Gauge Transformation of the Sixth Painlevé Equation / Sasaki, Yoshikatsu -- Chapter 18. Expansions for Solutions of the Schlesinger Equation at a Singular Point / Vyugin, Ilya V. -- Part IV. Painlevé Property -- Chapter 19. Painleve Analysis of Lotka-Volterra Equations / Damianou, Pantelis A. -- Chapter 20. Painlevé Test and Briot-Bouquet Systems / Gricuk, Evgenii / Gromak, Valerii -- Chapter 21. Solutions of the Chazy System / Gromak, Valerii -- Chapter 22. Third-Order Ordinary Differential Equations with the Painlevé Test / Adjabi, Yasin / Kessi, Arezki -- Chapter 23. Analytic Properties of Solutions of a Class of Third-Order Equations with an Irrational Right-Hand Side / Martynov, Ivan P. / Pronko, Vyacheslav A. / Andreeva, Tatsyana K. -- Part V. Other Aspects -- Chapter 24. The Sixth Painlevé Transcendent and Uniformizable Orbifolds / Brezhnev, Yurii V. -- Chapter 25. On Uniformizable Representation for Abelian Integrals / Brezhnev, Yurii V. -- Chapter 26. Phase Shift for a Special Solution to the Korteweg-de Vries Equation in the Whitham Zone / Garifullin, Rustem N. -- Chapter 27. Fuchsian Reduction of Differential Equations / Golubeva, Valentina A. -- Chapter 28. The Voros Coefficient and the Parametric Stokes Phenomenon for the Second Painlevé Equation / Iwaki, Kohei -- Chapter 29. Integral Symmetry and the Deformed Hypergeometric Equation / Kazakov, Alexander Ya. -- Chapter 30. Integral Symmetries for Confluent Heun Equations and Symmetries of Painlevé Equation P5 / Kazakov, Alexander Ya. / Slavyanov, Sergey Yu. -- Chapter 31. From the Tau Function of Painlevé P6 Equation to Moduli Spaces / Korotkin, Dmitry / Zograf, Peter -- Chapter 32. On particular Solutions of q-Painlevé Equations and q-Hypergeometric Equations / Ohyama, Yousuke -- Chapter 33. Derivation of Painlevé Equations by Antiquantization / Slavyanov, Sergey Yu. -- Chapter 34. Integral Transformation of Heun's Equation and Apparent Singularity / Takemura, Kouichi -- Chapter 35. Painlevé Analysis of Solutions to Some Nonlinear Differential Equations and their Systems Associated with Models of the Random-Matrix Type / Tsegel'nik, Vladimir -- Chapter 36. Reductions on the Lattice and Painlevé Equations P2, P5, P6 / Xenitidis, Pavlos -- Comments |
| Record Nr. | UNINA-9910785956203321 |
| Berlin, : De Gruyter, [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Painlevé equations and related topics : proceedings of the international conference, Saint Petersburg, Russia, June 17-23, 2011 / / edited by Alexander D. Bruno, Alexander B. Batkhin
| Painlevé equations and related topics : proceedings of the international conference, Saint Petersburg, Russia, June 17-23, 2011 / / edited by Alexander D. Bruno, Alexander B. Batkhin |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Berlin, : De Gruyter, [2012] |
| Descrizione fisica | 1 online resource (288 p.) |
| Disciplina |
515/.352
515.3550000000 |
| Altri autori (Persone) |
Bri͡unoAleksandr Dmitrievich
BatkhinAlexander B |
| Collana | De Gruyter proceedings in mathematics |
| Soggetto topico | Painlevé equations |
| Soggetto non controllato |
Ordinary Differential Equation
Painlevé Property Panilevé Equation |
| ISBN |
1-283-62841-4
9786613940865 3-11-027566-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Part I. Plane Power Geometry -- Chapter 1. Plane Power Geometry for One ODE and P1-P6 / Bruno, Alexander D. -- Chapter 2. New Simple Exact Solutions to Equation P6 / Batkhin, Alexander B. / Batkhina, Natalia V. -- Chapter 3. Convergence of a Formal Solution to an ODE / Goryuchkina, Irina V. -- Chapter 4. Asymptotic Expansions and Forms of Solutions to P6 / Goryuchkina, Irina V. -- Chapter 5. Asymptotic Expansions of Solutions to P5 / Parusnikova, Anastasia V. -- Part II. Space Power Geometry -- Chapter 6. Space Power Geometry for one ODE and P1-P4, P6 / Bruno, Alexander D. -- Chapter 7. Elliptic and Periodic Asymptotic Forms of Solutions to P5 / Bruno, Alexander D. / Parusnikova, Anastasia V. -- Chapter 8. Regular Asymptotic Expansions of Solutions to One ODE and P1-P5 / Bruno, Alexander D. -- Part III. Isomondromy Deformations -- Chapter 9. Isomonodromic Deformations on Riemann Surfaces / Artamonov, Dmitry V. -- Chapter 10. On Birational Darboux Coordinates of Isomonodromic Deformation Equations Phase Space / Babich, Mikhail V. -- Chapter 11. On the Malgrange Isomonodromic Deformations of Nonresonant Irregular Systems / Bibilo, Yuliya P. / Gontsov, Renat R. -- Chapter 12. Critical behavior of P6 Functions from the Isomonodromy Deformations Approach / Guzzetti, Davide -- Chapter 13. Isomonodromy Deformation of the Heun Class Equation / Kazakov, Alexander Ya. -- Chapter 14. Isomonodromy Deformations and Hypergeometric-Type Systems / Leksin, Vladimir P. -- Chapter 15. A Monodromy Problem Connected with P6 / Novikov, Dmitrii P. -- Chapter 16. Monodromy Evolving Deformations and Confluent Halphen's Systems / Ohyama, Yousuke -- Chapter 17. On the Gauge Transformation of the Sixth Painlevé Equation / Sasaki, Yoshikatsu -- Chapter 18. Expansions for Solutions of the Schlesinger Equation at a Singular Point / Vyugin, Ilya V. -- Part IV. Painlevé Property -- Chapter 19. Painleve Analysis of Lotka-Volterra Equations / Damianou, Pantelis A. -- Chapter 20. Painlevé Test and Briot-Bouquet Systems / Gricuk, Evgenii / Gromak, Valerii -- Chapter 21. Solutions of the Chazy System / Gromak, Valerii -- Chapter 22. Third-Order Ordinary Differential Equations with the Painlevé Test / Adjabi, Yasin / Kessi, Arezki -- Chapter 23. Analytic Properties of Solutions of a Class of Third-Order Equations with an Irrational Right-Hand Side / Martynov, Ivan P. / Pronko, Vyacheslav A. / Andreeva, Tatsyana K. -- Part V. Other Aspects -- Chapter 24. The Sixth Painlevé Transcendent and Uniformizable Orbifolds / Brezhnev, Yurii V. -- Chapter 25. On Uniformizable Representation for Abelian Integrals / Brezhnev, Yurii V. -- Chapter 26. Phase Shift for a Special Solution to the Korteweg-de Vries Equation in the Whitham Zone / Garifullin, Rustem N. -- Chapter 27. Fuchsian Reduction of Differential Equations / Golubeva, Valentina A. -- Chapter 28. The Voros Coefficient and the Parametric Stokes Phenomenon for the Second Painlevé Equation / Iwaki, Kohei -- Chapter 29. Integral Symmetry and the Deformed Hypergeometric Equation / Kazakov, Alexander Ya. -- Chapter 30. Integral Symmetries for Confluent Heun Equations and Symmetries of Painlevé Equation P5 / Kazakov, Alexander Ya. / Slavyanov, Sergey Yu. -- Chapter 31. From the Tau Function of Painlevé P6 Equation to Moduli Spaces / Korotkin, Dmitry / Zograf, Peter -- Chapter 32. On particular Solutions of q-Painlevé Equations and q-Hypergeometric Equations / Ohyama, Yousuke -- Chapter 33. Derivation of Painlevé Equations by Antiquantization / Slavyanov, Sergey Yu. -- Chapter 34. Integral Transformation of Heun's Equation and Apparent Singularity / Takemura, Kouichi -- Chapter 35. Painlevé Analysis of Solutions to Some Nonlinear Differential Equations and their Systems Associated with Models of the Random-Matrix Type / Tsegel'nik, Vladimir -- Chapter 36. Reductions on the Lattice and Painlevé Equations P2, P5, P6 / Xenitidis, Pavlos -- Comments |
| Record Nr. | UNINA-9910811412603321 |
| Berlin, : De Gruyter, [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||