Nayfeh, Ali Hasan Introduction to perturbation techniques. (English) Zbl 0449.34001 A Wiley-Interscience Publication. New York etc.: John Wiley & Sons. XIV, 519 p. £16.00 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 593 Documents MSC: 34-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations 34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. 34E10 Perturbations, asymptotics of solutions to ordinary differential equations 34E20 Singular perturbations, turning point theory, WKB methods for ordinary differential equations 34E05 Asymptotic expansions of solutions to ordinary differential equations 34E15 Singular perturbations, general theory for ordinary differential equations Keywords:asymptotic expansions; perturbation techniques; trigonometric identities; straightforward expansions; Lindstedt-Poincare technique; methods of renormalization; Krylov-BogoliubovMitropolsky technique; strained parameters; matched asymptotic expansions PDF BibTeX XML