Translations of Mathematical Monographs 1992; 375 pp; hardcover Volume: 112 ISBN10: 0821845691 ISBN13: 9780821845691 List Price: US$135 Member Price: US$108 Order Code: MMONO/112
 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. Readership Researchers and students in physics, mathematics and engineering. Table of Contents  Introduction. General survey
Part I.Asymptotic integration of various problems for ordinary differential equations:  The method of regularization of singular perturbations
 Asymptotic integration of a boundary value problem
 Asymptotic integration of linear integrodifferential equations;
 Some problems with rapidly oscillating coefficients
 Problems with an unstable spectrum
 Singularly perturbed problems for nonlinear equations
Part II.Singularly perturbed partial differential equations:  Asymptotic integration of linear parabolic equations
 Application of the regularization method to some elliptic problems in a cylindrical domain
 Asymptotic integration of some singularly perturbed evolution equations
