LEADER 07303nam 2200661 a 450 001 9910785956203321 005 20230801224940.0 010 $a1-283-62841-4 010 $a9786613940865 010 $a3-11-027566-X 024 7 $a10.1515/9783110275667 035 $a(CKB)2670000000263175 035 $a(EBL)893207 035 $a(OCoLC)812251499 035 $a(SSID)ssj0000758368 035 $a(PQKBManifestationID)11450995 035 $a(PQKBTitleCode)TC0000758368 035 $a(PQKBWorkID)10773565 035 $a(PQKB)11031743 035 $a(MiAaPQ)EBC893207 035 $a(DE-B1597)174870 035 $a(OCoLC)900724607 035 $a(DE-B1597)9783110275667 035 $a(Au-PeEL)EBL893207 035 $a(CaPaEBR)ebr10606430 035 $a(CaONFJC)MIL394086 035 $a(EXLCZ)992670000000263175 100 $a20120821d2012 uy 0 101 0 $aeng 135 $aurnn#---|u||u 181 $ctxt 182 $cc 183 $acr 200 00$aPainleve? equations and related topics$b[electronic resource] $eproceedings of the international conference, Saint Petersburg, Russia, June 17-23, 2011 /$fedited by Alexander D. Bruno, Alexander B. Batkhin 210 $aBerlin $cDe Gruyter$d[2012] 215 $a1 online resource (288 p.) 225 0 $aDe Gruyter proceedings in mathematics 300 $aDescription based upon print version of record. 311 0 $a3-11-027558-9 320 $aIncludes bibliographical references. 327 $tFront matter --$tPreface --$tContents --$tPart I. Plane Power Geometry --$tChapter 1. Plane Power Geometry for One ODE and P1-P6 /$rBruno, Alexander D. --$tChapter 2. New Simple Exact Solutions to Equation P6 /$rBatkhin, Alexander B. / Batkhina, Natalia V. --$tChapter 3. Convergence of a Formal Solution to an ODE /$rGoryuchkina, Irina V. --$tChapter 4. Asymptotic Expansions and Forms of Solutions to P6 /$rGoryuchkina, Irina V. --$tChapter 5. Asymptotic Expansions of Solutions to P5 /$rParusnikova, Anastasia V. --$tPart II. Space Power Geometry --$tChapter 6. Space Power Geometry for one ODE and P1-P4, P6 /$rBruno, Alexander D. --$tChapter 7. Elliptic and Periodic Asymptotic Forms of Solutions to P5 /$rBruno, Alexander D. / Parusnikova, Anastasia V. --$tChapter 8. Regular Asymptotic Expansions of Solutions to One ODE and P1-P5 /$rBruno, Alexander D. --$tPart III. Isomondromy Deformations --$tChapter 9. Isomonodromic Deformations on Riemann Surfaces /$rArtamonov, Dmitry V. --$tChapter 10. On Birational Darboux Coordinates of Isomonodromic Deformation Equations Phase Space /$rBabich, Mikhail V. --$tChapter 11. On the Malgrange Isomonodromic Deformations of Nonresonant Irregular Systems /$rBibilo, Yuliya P. / Gontsov, Renat R. --$tChapter 12. Critical behavior of P6 Functions from the Isomonodromy Deformations Approach /$rGuzzetti, Davide --$tChapter 13. Isomonodromy Deformation of the Heun Class Equation /$rKazakov, Alexander Ya. --$tChapter 14. Isomonodromy Deformations and Hypergeometric-Type Systems /$rLeksin, Vladimir P. --$tChapter 15. A Monodromy Problem Connected with P6 /$rNovikov, Dmitrii P. --$tChapter 16. Monodromy Evolving Deformations and Confluent Halphen's Systems /$rOhyama, Yousuke --$tChapter 17. On the Gauge Transformation of the Sixth Painlevé Equation /$rSasaki, Yoshikatsu --$tChapter 18. Expansions for Solutions of the Schlesinger Equation at a Singular Point /$rVyugin, Ilya V. --$tPart IV. Painlevé Property --$tChapter 19. Painleve Analysis of Lotka-Volterra Equations /$rDamianou, Pantelis A. --$tChapter 20. Painlevé Test and Briot-Bouquet Systems /$rGricuk, Evgenii / Gromak, Valerii --$tChapter 21. Solutions of the Chazy System /$rGromak, Valerii --$tChapter 22. Third-Order Ordinary Differential Equations with the Painlevé Test /$rAdjabi, Yasin / Kessi, Arezki --$tChapter 23. Analytic Properties of Solutions of a Class of Third-Order Equations with an Irrational Right-Hand Side /$rMartynov, Ivan P. / Pronko, Vyacheslav A. / Andreeva, Tatsyana K. --$tPart V. Other Aspects --$tChapter 24. The Sixth Painlevé Transcendent and Uniformizable Orbifolds /$rBrezhnev, Yurii V. --$tChapter 25. On Uniformizable Representation for Abelian Integrals /$rBrezhnev, Yurii V. --$tChapter 26. Phase Shift for a Special Solution to the Korteweg-de Vries Equation in the Whitham Zone /$rGarifullin, Rustem N. --$tChapter 27. Fuchsian Reduction of Differential Equations /$rGolubeva, Valentina A. --$tChapter 28. The Voros Coefficient and the Parametric Stokes Phenomenon for the Second Painlevé Equation /$rIwaki, Kohei --$tChapter 29. Integral Symmetry and the Deformed Hypergeometric Equation /$rKazakov, Alexander Ya. --$tChapter 30. Integral Symmetries for Confluent Heun Equations and Symmetries of Painlevé Equation P5 /$rKazakov, Alexander Ya. / Slavyanov, Sergey Yu. --$tChapter 31. From the Tau Function of Painlevé P6 Equation to Moduli Spaces /$rKorotkin, Dmitry / Zograf, Peter --$tChapter 32. On particular Solutions of q-Painlevé Equations and q-Hypergeometric Equations /$rOhyama, Yousuke --$tChapter 33. Derivation of Painlevé Equations by Antiquantization /$rSlavyanov, Sergey Yu. --$tChapter 34. Integral Transformation of Heun's Equation and Apparent Singularity /$rTakemura, Kouichi --$tChapter 35. Painlevé Analysis of Solutions to Some Nonlinear Differential Equations and their Systems Associated with Models of the Random-Matrix Type /$rTsegel'nik, Vladimir --$tChapter 36. Reductions on the Lattice and Painlevé Equations P2, P5, P6 /$rXenitidis, Pavlos --$tComments 330 $aThis is a proceedings of the international conference "Painlevé Equations and Related Topics" which was taking place at the Euler International Mathematical Institute, a branch of the Saint Petersburg Department of the Steklov Institute of Mathematics of the Russian Academy of Sciences, in Saint Petersburg on June 17 to 23, 2011. The survey articles discuss the following topics: General ordinary differential equations Painlevé equations and their generalizations Painlevé property Discrete Painlevé equations Properties of solutions of all mentioned above equations:- Asymptotic forms and asymptotic expansions- Connections of asymptotic forms of a solution near different points- Convergency and asymptotic character of a formal solution- New types of asymptotic forms and asymptotic expansions- Riemann-Hilbert problems- Isomonodromic deformations of linear systems- Symmetries and transformations of solutions- Algebraic solutions Reductions of PDE to Painlevé equations and their generalizations Ordinary Differential Equations systems equivalent to Painlevé equations and their generalizations Applications of the equations and the solutions 410 3$aDe Gruyter Proceedings in Mathematics 606 $aPainleve? equations$vCongresses 610 $aOrdinary Differential Equation. 610 $aPainlevé Property. 610 $aPanilevé Equation. 615 0$aPainleve? equations 676 $a515/.352 701 $aBri?uno$b Aleksandr Dmitrievich$041841 701 $aBatkhin$b Alexander B$01517786 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910785956203321 996 $aPainleve? equations and related topics$93755011 997 $aUNINA