Observations on a useful general nonlinear equation

DOI10.1016/0898-1221(94)00131-6zbMath0808.65075OpenAlexW1983984670MaRDI QIDQ1334706

J. R. Usher

Publication date: 25 September 1994

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(94)00131-6

zbMATH Keywords

initial value problemnonlinearDuffing's equationanharmonic motion equationbounded periodic solutionmultiple scales scheme

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

• Series solutions of some nonlinear differential equations
• Some series solutions of the Duffing equation
• Approximate solutions of a nonlinear differential equation
• Some series solutions of the anharmonic motion equation
• The role of coordinate systems in boundary-layer theory
• Further observations on the anharmonic motion equation
• Perturbation methods and non-linear hyperbolic waves
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