Asymptotics of a solution to a second order linear differential equation with large summands

DOI10.1007/S11202-010-0008-5zbMath1228.34025OpenAlexW1970845174WikidataQ115380886 ScholiaQ115380886MaRDI QIDQ605996

V. B. Levenshtam, E. V. Krutenko

Publication date: 15 November 2010

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

Full work available at URL: https://doi.org/10.1007/s11202-010-0008-5

zbMATH Keywords

Cauchy problemdifferential equationlarge smooth and oscillating summands

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear ordinary differential equations and systems (34A30) Asymptotic properties of solutions to ordinary differential equations (34D05) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (2)

Asymptotic analysis of linear differential equations with a large parameter: the resonance case ⋮ Homogenization of the equations of filtration of a viscous fluid in two porous media

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 rapidly oscillating terms of large amplitude. II
• Asymptotic integration of differential equations with oscillatory terms of large amplitudes. I
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