A qualitative study of the solutions to the differential equation

DOI10.1016/j.jsv.2004.05.009zbMath1237.34040OpenAlexW1605022176WikidataQ115345159 ScholiaQ115345159MaRDI QIDQ2883666

John C. Beatty, Ronald E. Mickens

Publication date: 13 May 2012

Published in: Journal of Sound and Vibration (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsv.2004.05.009

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

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An artificial parameter-Linstedt-Poincaré method for oscillators with smooth odd nonlinearities ⋮ Notes on a conservative nonlinear oscillator ⋮ On the variational iteration method and other iterative techniques for nonlinear differential equations ⋮ On the small-amplitude approximation to the differential equation \(\ddot{x}+(1+\dot x^2)x=0\)

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