| Hardcover ISBN: | 978-0-8218-4569-1 |
| Product Code: | MMONO/112 |
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| eBook ISBN: | 978-1-4704-4523-2 |
| Product Code: | MMONO/112.E |
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| AMS Member Price: | $124.00 |
| Hardcover ISBN: | 978-0-8218-4569-1 |
| eBook: ISBN: | 978-1-4704-4523-2 |
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| AMS Member Price: | $256.00 $194.00 |
| Hardcover ISBN: | 978-0-8218-4569-1 |
| Product Code: | MMONO/112 |
| List Price: | $165.00 |
| MAA Member Price: | $148.50 |
| AMS Member Price: | $132.00 |
| eBook ISBN: | 978-1-4704-4523-2 |
| Product Code: | MMONO/112.E |
| List Price: | $155.00 |
| MAA Member Price: | $139.50 |
| AMS Member Price: | $124.00 |
| Hardcover ISBN: | 978-0-8218-4569-1 |
| eBook ISBN: | 978-1-4704-4523-2 |
| Product Code: | MMONO/112.B |
| List Price: | $320.00 $242.50 |
| MAA Member Price: | $288.00 $218.25 |
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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.
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Table of Contents
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Chapters
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Chapter 1. Introduction. General survey
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Part I. Asymptotic integration of a boundary value problem
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Chapter 2. The method of regularization of singular perturbations
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Chapter 3. Asymptotic integration of a boundary value problem
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Chapter 4. Asymptotic integration of linear integro-differential equations
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Chapter 5. Some problems with rapidly oscillating coefficients
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Chapter 6. Problems with an unstable spectrum
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Chapter 7. Singularly perturbed problems for nonlinear equations
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Part II. Singularly perturbed partial differential equations
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Chapter 8. Asymptotic integration of linear parabolic equations
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Chapter 9. Application of the regularization method to some elliptic problems in a cylindrical domain
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Chapter 10. Asymptotic integration of some singularly perturbed evolution equations
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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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 integro-differential 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
