On the existence of periodic solutions of ordinary differential equations with high-frequency summands in a Banach space

DOI10.1134/S0001434617010357zbMath1383.34064OpenAlexW2594886094MaRDI QIDQ2396425

L. I. Sazonov

Publication date: 8 June 2017

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617010357

zbMATH Keywords

ordinary differential equationBanach spacerapidly oscillating solutionhigh-frequency coefficient

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Linear differential equations in abstract spaces (34G10)

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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• Asymptotic integration of a system of differential equations with a large parameter in the critical case
• Linear parabolic problem: High-frequency asymptotics in the critical case
• A JUSTIFICATION OF THE AVERAGING METHOD FOR ABSTRACT PARABOLIC EQUATIONS

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