Regular singular differential equations
β Scribed by Pierre Deligne ; Timothy Hosgood (Translator)
- Publisher
- Springer
- Year
- 2022
- Tongue
- English
- Leaves
- 95
- Series
- Lecture Notes in Mathematics 163
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Introduction
Dictionary
Local systems and the fundamental group
Integrable connections and local systems
Translation in terms of first-order partial differential equations
nth-order differential equations
Second-order differential equations
Multiform functions of finite determination
Regular connections
Regularity in dimension 1
Growth conditions
Logarithmic poles
Regularity in dimension n
Existence theorem
Comparison theorem
Regularity theorem
Applications and examples
Functions in the Nilsson class
The monodromy theorem (by Brieskorn)
π SIMILAR VOLUMES
<p><P>The authors introduce, in this research monograph on stochastic differential equations, a class of points termed isolated singular points. Stochastic differential equations possessing such points (called singular stochastic differential equations here) arise often in theory and in applications
<p><P>The authors introduce, in this research monograph on stochastic differential equations, a class of points termed isolated singular points. Stochastic differential equations possessing such points (called singular stochastic differential equations here) arise often in theory and in applications
This is the first book offering an application of regular variation to the qualitative theory of differential equations. The notion of regular variation, introduced by Karamata (1930), extended by several scientists, most significantly de Haan (1970), is a powerful tool in studying asymptotics in va