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Asymptotic analysis of linear differential equations with a large parameter: the resonance case

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Publication:416983
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DOI10.1134/S0037446612010089zbMath1251.34075MaRDI QIDQ416983

V. B. Levenshtam

Publication date: 10 May 2012

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


zbMATH Keywords

asymptotic solutionsresonanceLinear differential equationslow and fast coefficients


Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Asymptotic expansions of solutions to ordinary differential equations (34E05)


Related Items (1)

Asymptotic decay of solutions to an essentially nonlinear system with two-frequency resonances




Cites Work

  • Asymptotics of a solution to a second order linear differential equation with large summands
  • Kantorovich theorem and justification of asymptotics of solutions of differential equations with large high-frequency summands
  • 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
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