Two-timing on the half line for damped oscillation equations

DOI10.1016/0022-247X(75)90129-8zbMath0322.34039OpenAlexW1977235384MaRDI QIDQ1223723

R. E. Snow, W. M. Greenlee

Publication date: 1975

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(75)90129-8

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Theoretical approximation of solutions to ordinary differential equations (34A45) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items

Validity of the multiple scale method for very long intervals ⋮ The Use of an lnvariance Condition in the Solution of Multiple‐Scale Singular Perturbation Problems: Ordinary Differential Equations ⋮ A note on the proper choice of scales in two variable expansions ⋮ A Uniformly‐Valid Asymptotic Solution to a Matrix System of Ordinary Differential Equations and a Proof of its Validity ⋮ Two-timing for forced oscillation equations ⋮ Profits and Pitfalls of Timescales in Asymptotics ⋮ Variation of Parameters and the Renormalization Group Method

Cites Work

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• On the solutions of certain integral-like operator equations. Existence, uniqueness and dependence theorems
• Method of averaging for systems bounded for positive time
• Continuous dependence of solutions of differential equations on a parameter
• Two-Timing Methods Valid on Expanding Intervals
• Comparison of the Modified Method of Averaging and the Two Variable Expansion Procedure
• The averaging principle in certain partial differential boundary problems
• Higher Order Averaging and Related Methods for Perturbed Periodic and Quasi-Periodic Systems
• Some nonlocal results for weakly nonlinear dynamical systems
• On Multivariable Asymptotic Expansions
• Asymptotic Solutions of Inhomogeneous Initial Boundary Value Problems for Weakly Nonlinear Partial Differential Equations

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