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Introduction to the General Theory of Singular Perturbations

About this Title

S. A. Lomov

Publication: Translations of Mathematical Monographs
Publication Year: 1992; Volume 112
ISBNs: 978-0-8218-4569-1 (print); 978-1-4704-4523-2 (online)
DOI: https://doi.org/10.1090/mmono/112
MathSciNet review: MR1195789
MSC: Primary 34E15; Secondary 34-02, 34Exx, 35B25

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Table of Contents

Front/Back Matter

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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

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