Gromak / Laine / Shimomura Painlevé Differential Equations in the Complex Plane

Nachdruck 2013
ISBN: 978-3-11-019809-6
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 311 Seiten, Format (B × H): 155 mm x 230 mm, Gewicht: 10 g

Reihe: ISSN

Autoren/Hrsg.

Gromak, Valerii I.

Laine, Ilpo

Shimomura, Shun

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

Frontmatter
Contents
Chapter 1. Meromorphic nature of solutions
Chapter 2. Growth of Painlevé transcendents
Chapter 3. Value distribution of Painlevé transcendents
Chapter 4. The first Painlevé equation (P1)
Chapter 5. The second Painlevé equation (P2)
Chapter 6. The fourth Painlevé equation (P4)
Chapter 7. The third Painlevé equation (P3)
Chapter 8. The fifth Painlevé equation (P5)
Chapter 9. The sixth Painlevé equation (P6)
Chapter 10. Applications of Painlevé equations
Appendix A. Local existence and uniqueness of solutions of complex differential equations
Appendix B. Basic notations and facts in the Nevanlinna theory
Backmatter

Über Autor(innen)

Gromak, Valerii I.
Dr. Valerii Gromak works at the Belarussian State University in Minsk, Belarussia.

Shimomura, Shun
Shun Shimomura is Professor at the Mathematics Department of Keio University, Yokohama, Japan.

Laine, Ilpo
Ilpo Laine is Professor at the Mathematics Department of the University of Joensuu, Finland.

Dr. Valerii Gromak works at the Belarussian State University in Minsk, Belarussia. Ilpo Laine is Professor at the Mathematics Department of the University of Joensuu, Finland. Shun Shimomura is Professor at the Mathematics Department of Keio University, Yokohama, Japan.