Higher-order averaging for nonperiodic systems

DOI10.1063/1.529110zbMath0738.34027OpenAlexW2015432522MaRDI QIDQ3987296

Albert W. Sáenz

Publication date: 28 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529110

zbMATH Keywords

error boundsaveragingperturbation parameternonperiodicaveraging method for priodic nonlinear systems of ordinary differential equationsexistence, uniqueness and approximation theorem for Nth orderlinear oscillator with time-dependent friction

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Free motions for nonlinear problems in mechanics (70K25) Averaging method for ordinary differential equations (34C29) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

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Cites Work

• Improved N-th order averaging theory for periodic systems
• New approach to the asymptotic theory of nonlinear oscillations and wave- propagation
• Formulae for high derivatives of composite functions
• Higher Order Averaging and Related Methods for Perturbed Periodic and Quasi-Periodic Systems

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