Averaging for High-Frequency Normal System of Ordinary Differential Equations with Multipoint Boundary Value Problems

DOI10.46698/i7381-0821-3887-yOpenAlexW4283385840WikidataQ115160248 ScholiaQ115160248MaRDI QIDQ5039869

V. B. Levenshtam, Danièl' Bigirindavĭi

Publication date: 10 October 2022

Published in: Владикавказский математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vmj814

zbMATH Keywords

multipoint boundary value problemaveraging methodlarge high-frequency termsnormal system of ordinary differential equations

Mathematics Subject Classification ID

Averaging method for ordinary differential equations (34C29) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Singular perturbations for ordinary differential equations (34E15) Nonautonomous smooth dynamical systems (37C60) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Cites Work

• Asymptotic expansions of periodic solutions of ordinary differential equations with large high-frequency terms
• Asymptotic expansion of the solution to the problem of vibrational convection
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