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 Differ. Uravn., 2005, Volume 41, Number 8, Pages 1084–1091 (Mi de11334)

Ordinary Differential Equations

Asymptotic Integration of Differential Equations with Rapidly Oscillating Terms of Large Amplitude: II

V. B. Levenshtam

Rostov State University

Full text: PDF file (1023 kB)

English version:
Differential Equations, 2005, 41:8, 1137–1145

Bibliographic databases:

UDC: 517.928

Citation: V. B. Levenshtam, “Asymptotic Integration of Differential Equations with Rapidly Oscillating Terms of Large Amplitude: II”, Differ. Uravn., 41:8 (2005), 1084–1091; Differ. Equ., 41:8 (2005), 1137–1145

Citation in format AMSBIB
\Bibitem{Lev05} \by V.~B.~Levenshtam \paper Asymptotic Integration of Differential Equations with Rapidly Oscillating Terms of Large Amplitude: II \jour Differ. Uravn. \yr 2005 \vol 41 \issue 8 \pages 1084--1091 \mathnet{http://mi.mathnet.ru/de11334} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2202511} \transl \jour Differ. Equ. \yr 2005 \vol 41 \issue 8 \pages 1137--1145 \crossref{https://doi.org/10.1007/s10625-005-0259-2} 

• http://mi.mathnet.ru/eng/de11334
• http://mi.mathnet.ru/eng/de/v41/i8/p1084

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This publication is cited in the following articles:
1. G. L. Khatlamadzhiyan, “Critical stability of solutions to linear ordinary differential equations with large high-frequency terms”, Comput. Math. Math. Phys., 47:1 (2007), 93–106
2. A. K. Kapikyan, V. B. Levenshtam, “First-order partial differential equations with large high-frequency terms”, Comput. Math. Math. Phys., 48:11 (2008), 2059–2076
3. V. B. Levenshtam, “Asymptotic analysis of some classes of ordinary differential equations with large high-frequency terms”, J. Math. Sci. (N. Y.), 163:1 (2009), 89–110
4. E. V. Krutenko, V. B. Levenshtam, “Asymptotics of a solution to a second order linear differential equation with large summands”, Siberian Math. J., 51:1 (2010), 57–71
5. V. B. Levenshtam, “Asymptotic analysis of linear differential equations with a large parameter: the resonance case”, Siberian Math. J., 53:1 (2012), 100–105
6. V. B. Levenshtam, P. E. Shubin, “Justification of the Averaging Method for Differential Equations with Large Rapidly Oscillating Summands and Boundary Conditions”, Math. Notes, 100:1 (2016), 80–92