Global Theory of a Second Order Linear Ordinary Differential Equation with a Polynomial Coefficient

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Author(s): Yasutaka Sibuya (Eds.)
Series: North-Holland Mathematics Studies 18
Publisher: Elsevier, Academic Press
Year: 1975

Language: English
Pages: iii-xi, 1-290
Tags: Математика;Дифференциальные уравнения;Обыкновенные дифференциальные уравнения;

Content:
Edited by
Page iii

Copyright page
Page iv

Introduction
Pages v-xi
Yasutaka Sibuya

Chapter 1 Asymptotic Expansions
Pages 1-14

Chapter 2 Definition of Subdominant Solutions
Pages 15-41

Chapter 3 A Relation Between ym AND ym+1
Pages 42-64

Chapter 4 Asymptotic Behavior of ym(x,a) AS amTends to Infinity
Pages 65-81

Chapter 5 Stokes Multipliers
Pages 82-127

Chapter 6 A Boundary Value Problem in the Complex Plane
Pages 128-151

Chapter 7 Distribution of Zeros
Pages 152-165

Chapter 8 A General Boundary Value Problem and Associated Riemann Surfaces
Pages 166-200

Chapter 9 Subdominant Solutions Admitting A Prescribed Stokes Phenomenon
Pages 201-232

Chapter 10 Subdominant Solutions of the Differential Equation
Pages 233-284

References
Pages 285-288

Index
Pages 289-290