Justification of the averaging method for differential equations with large rapidly oscillating summands and boundary conditions

DOI10.1134/S0001434616070075zbMath1369.34065MaRDI QIDQ509048

P. E. Shubin, V. B. Levenshtam

Publication date: 8 February 2017

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

zbMATH Keywords

boundary-value problemaveraging methodproblem on the semiaxisrapidly oscillating summands

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Averaging method for ordinary differential equations (34C29)

Cites Work

• Extension of the averaging theory to differential equations with large-amplitude rapidly oscillating terms. The problem of periodic solutions
• Asymptotic integration of differential equations with large high-frequency terms
• Asymptotic integration of differential equations with rapidly oscillating terms of large amplitude. II
• Asymptotic integration of differential equations with oscillatory terms of large amplitudes. I
• A JUSTIFICATION OF THE AVERAGING METHOD FOR ABSTRACT PARABOLIC EQUATIONS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item