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Product Code:  MMONO/112 
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Product Code:  MMONO/112.E 
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Hardcover ISBN:  9780821845691 
eBook: ISBN:  9781470445232 
Product Code:  MMONO/112.B 
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Hardcover ISBN:  9780821845691 
Product Code:  MMONO/112 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
eBook ISBN:  9781470445232 
Product Code:  MMONO/112.E 
List Price:  $155.00 
MAA Member Price:  $139.50 
AMS Member Price:  $124.00 
Hardcover ISBN:  9780821845691 
eBook ISBN:  9781470445232 
Product Code:  MMONO/112.B 
List Price:  $320.00 $242.50 
MAA Member Price:  $288.00 $218.25 
AMS Member Price:  $256.00 $194.00 

Book DetailsTranslations of Mathematical MonographsVolume: 112; 1992; 375 ppMSC: Primary 34
This book is aimed at researchers and students in physics, mathematics, and engineering. It contains the first systematic presentation of a general approach to the integration of singularly perturbed differential equations describing nonuniform transitions, such as the occurrence of a boundary layer, discontinuities, boundary effects, and so on. The method of regularization of singular perturbations presented here can be applied to the asymptotic integration of systems of ordinary and partial differential equations.
ReadershipResearchers and students in physics, mathematics and engineering.

Table of Contents

Chapters

Chapter 1. Introduction. General survey

Part I. Asymptotic integration of a boundary value problem

Chapter 2. The method of regularization of singular perturbations

Chapter 3. Asymptotic integration of a boundary value problem

Chapter 4. Asymptotic integration of linear integrodifferential equations

Chapter 5. Some problems with rapidly oscillating coefficients

Chapter 6. Problems with an unstable spectrum

Chapter 7. Singularly perturbed problems for nonlinear equations

Part II. Singularly perturbed partial differential equations

Chapter 8. Asymptotic integration of linear parabolic equations

Chapter 9. Application of the regularization method to some elliptic problems in a cylindrical domain

Chapter 10. Asymptotic integration of some singularly perturbed evolution equations


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This book is aimed at researchers and students in physics, mathematics, and engineering. It contains the first systematic presentation of a general approach to the integration of singularly perturbed differential equations describing nonuniform transitions, such as the occurrence of a boundary layer, discontinuities, boundary effects, and so on. The method of regularization of singular perturbations presented here can be applied to the asymptotic integration of systems of ordinary and partial differential equations.
Researchers and students in physics, mathematics and engineering.

Chapters

Chapter 1. Introduction. General survey

Part I. Asymptotic integration of a boundary value problem

Chapter 2. The method of regularization of singular perturbations

Chapter 3. Asymptotic integration of a boundary value problem

Chapter 4. Asymptotic integration of linear integrodifferential equations

Chapter 5. Some problems with rapidly oscillating coefficients

Chapter 6. Problems with an unstable spectrum

Chapter 7. Singularly perturbed problems for nonlinear equations

Part II. Singularly perturbed partial differential equations

Chapter 8. Asymptotic integration of linear parabolic equations

Chapter 9. Application of the regularization method to some elliptic problems in a cylindrical domain

Chapter 10. Asymptotic integration of some singularly perturbed evolution equations