Asymptotic analysis of some classes of ordinary differential equations with large high-frequency terms

DOI10.1007/S10958-009-9660-3zbMath1192.34066OpenAlexW1997930180MaRDI QIDQ844561

V. B. Levenshtam

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9660-3

zbMATH Keywords

ordinary differential equationsasymptotic of solutionsfirst-order nonlinear equationslarge frequency terms

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Asymptotic properties of solutions to ordinary differential equations (34D05) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

• Unnamed Item
• On asymptotic integration of the equations of motion of mechanical systems subjected to rapidly oscillating forces
• Asymptotic integration of differential equations with rapidly oscillating terms of large amplitude. II

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