Introduction to the General Theory of Singular Perturbations (Translations of Mathematical Monographs)

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. This book is aimed at researchers and students in physics, mathematics, and engineering. It contains a 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, and boundary effects Suitable for researchers and students in physics, mathematics, and engineering, this book contains a 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, and boundary effects. S.a. Lomov ; [translated From The Russian By J.r. Schulenberger ; Translation Edited By Simeon Ivanov]. Includes Bibliographical References And Index.