ENGLISH

Algebraic Analysis of Singular Perturbation Theory

By Takahiro Kawai , Yoshitsugu Takei

Book information

Publisher
American Mathematical Society
Year
2005
ISBN
0821835475, 9780821835470
Language
english
Format
DJVU
Filesize
1 MB (1207969 bytes)
Series
Translations of Mathematical Monographs
Pages
129\146
DPI
600
Orientation
yes
Scanned
yes
Time added
2016-05-22 16:14:26

Description

The topic of this book is the study of singular perturbations of ordinary differential equations, i.e., perturbations that represent solutions as asymptotic series rather than as analytic functions in a perturbation parameter. The main method used is the so-called WKB (Wentzel-Kramers-Brillouin) method, originally invented for the study of quantum-mechanical systems. The authors describe in detail the WKB method and its applications to the study of monodromy problems for Fuchsian differential equations and to the analysis of Painleve functions. The volume is suitable for graduate students and researchers interested in differential equations and special functions.

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