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Algebraic methods in nonlinear perturbation theoryby V. N. Bogaevskii
Synopses & Reviews
Of interest to everybody working on perturbation theory in differential equations, this book requires only a standard mathematical background in engineering and does not require reference to the special literature. Topics covered include: matrix perturbation theory; systems of ordinary differential equations with small parameters; reconstruction and equations in partial derivatives. While boundary problems are not discussed, the book is clearly illustrated by numerous examples.
Book News Annotation:
Develops a formalism generalizing the mathematical notion of a normal form and a standard method for calculating the asymptotics; proposes an approach to reconstruction problems; discusses the possibility of minimization; and shows how to extend the formalism to equations involving partial derivatives. Assumes the mathematical background of an engineer. Includes only a minimal bibliography. No date is given for the original Russian edition.
Annotation c. Book News, Inc., Portland, OR (booknews.com)
Table of Contents
Contents: Matrix Perturbation Theory.- Systems of Ordinary Differential Equations with a Small Parameter.- Examples.- Reconstruction.- Equations in Partial Derivatives.- References.- Index.
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