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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 1, Pages 74–89 (Mi smj2068)  
This article is cited in 5 scientific papers (total in 5 papers)

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

E. V. Krutenko, V. B. Levenshtam

Southern Federal University, Faculty of Mathematics, Mechanics and Computer Sciences, Rostov-on-Don
Full-text PDF (343 kB) Citations (5)
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Abstract: We consider the second order ordinary differential equations whose coefficients of the unknowns contain smooth and rapidly oscillating summands proportional to the positive powers of the oscillation frequency. The complete asymptotic expansions are constructed and justified of solutions to the Cauchy problem.
Keywords: differential equation, large smooth and oscillating summands, construction and justification of the complete asymptotics of a solution.
Received: 17.01.2008
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 1, Pages 57–71
DOI: https://doi.org/10.1007/s11202-010-0008-5
Bibliographic databases:
UDC: 517.928
Language: Russian
Citation: E. V. Krutenko, V. B. Levenshtam, “Asymptotics of a solution to a second order linear differential equation with large summands”, Sibirsk. Mat. Zh., 51:1 (2010), 74–89; Siberian Math. J., 51:1 (2010), 57–71
Citation in format AMSBIB
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\paper Asymptotics of a~solution to a~second order linear differential equation with large summands
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\pages 74--89
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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