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Problems in perturbation. (English) Zbl 0573.34001

A Wiley-Interscience Publication. New York etc.: John Wiley & Sons. XI, 556 p. £40.85 (1985).
This book contains detailed solutions of all the problems in the author’s earlier work Introduction to Perturbation Techniques (1981; Zbl 0449.34001). Each chapter begins with a short introduction that gives a summary of the definitions, basic theory, and available methods. The only background in mathematics necessary for the study of the book is a knowledge of calculus and elementary ODE.
Reviewer: N.L.Maria

MSC:

34-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations
34D10 Perturbations of ordinary differential equations
34E10 Perturbations, asymptotics of solutions to ordinary differential equations
34D15 Singular perturbations of ordinary differential equations
34E15 Singular perturbations for ordinary differential equations
34E20 Singular perturbations, turning point theory, WKB methods for ordinary differential equations
34E05 Asymptotic expansions of solutions to ordinary differential equations
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.

Citations:

Zbl 0449.34001