Introduction to Singular Perturbations

Robert E. O’Malley (Eds.)978-0-12-525950-7

New material, improvements and recent advances have been added to this second revised edition. The volume examines the general theory for constant coefficient operators, elliptic operators, the L 2 theory for operators bounded from below, and self-adjoint operators. A comprehensive theory for second order operators is given, and applied to quantum mechanical systems of particles. Since many of the topics treated here are of interest to chemists, engineers, mathematicians and physicists, the volume begins with background and reference material.

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Table of contents :
Content:
Applied Mathematics and Mechanics
Page ii

Front Matter
Page iii

Copyright page
Page iv

Preface
Pages vii-viii

Chapter 1 – First Concerns
Pages 1-26

Chapter 2 – The Regular Perturbation Method
Pages 27-34

Chapter 3 – Linear Boundary Value Problems
Pages 35-75

Chapter 4 – Nonlinear Initial Value Problems
Pages 76-114

Chapter 5 – Nonlinear Boundary Value Problems
Pages 115-138

Chapter 6 – The Singularly Perturbed Linear State Regulator Problem
Pages 139-156

Chapter 7 – Boundary Value Problems with Multiple Solutions Arising in Chemical Reactor Theory
Pages 157-167

Chapter 8 – Some Turning Point Problems
Pages 168-189

References
Pages 190-201

Index
Pages 203-206