On an asymptotic method of Krylov-Bogoliubov for overdamped on linear systems

DOI10.1016/0016-0032(69)00203-1zbMath0246.34046OpenAlexW1999104618MaRDI QIDQ2555612

Yanyan Li

Publication date: 1969

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0016-0032(69)00203-1

Mathematics Subject Classification ID

Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

Related Items (6)

An asymptotic method for second-order critically damped nonliner equations ⋮ Asymptotic solutions of third order over-damped non-linear systems with special conditions ⋮ A unified Krylov-Bogoliubov-Mitropolskii method for solving \(n\)th order nonlinear systems ⋮ On a special condition of over-damped nonlinear system with slowly varying coefficients ⋮ A procedure to obtain the initial amplitude and phase for the Krylov- Bogoliubov method ⋮ An extension of the general Struble's method for solving an \(n\)th order nonlinear differential equation when the corresponding unperturbed equation has some repeated eigenvalues

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