High-frequency asymptotics of solutions of ODE in a Banach space

DOI10.1070/IM8298zbMath1393.34064OpenAlexW2582092918MaRDI QIDQ4605742

L. I. Sazonov

Publication date: 27 February 2018

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8298

zbMATH Keywords

asymptotic expansionperiodic solutionordinary differential equationaveraging

Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) Linear differential equations in abstract spaces (34G10) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (1)

A system of partial differential equations with high-frequency coefficients and Stokes operator in the main part. Asymptotic integration in the case of multiple degeneration

Cites Work

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• High-frequency asymptotics of a solution to a linear system with the Stokes operator in the principal part
• Justification of the averaging method for the convection problem with high-frequency vibrations
• Asymptotic integration of linear parabolic problems with high-frequency coefficients in the critical case
• Asymptotic integration of a system of differential equations with a large parameter in the critical case
• Justification of the averaging method for a system of equations with the Navier–Stokes operator in the principal part
• Asymptotic integration of linear system with high-frequency coefficients and Stokes operator in the main part
• Justification of the averaging method for parabolic equations containing rapidly oscillating terms with large amplitudes
• Linear parabolic problem: High-frequency asymptotics in the critical case

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