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Matematicheskie Zametki, 2016, Volume 100, Issue 1, Pages 94–108
DOI: https://doi.org/10.4213/mzm11126 (Mi mzm11126) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Justification of the Averaging Method for Differential Equations with Large Rapidly Oscillating Summands and Boundary Conditions

V. B. Levenshtamab, P. E. Shubina

a Southern Federal University, Rostov-on-Don
b Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences
Full-text PDF (513 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm11126
Abstract: The averaging method is justified for normal systems of differential equations with rapidly oscillating summands proportional to the square root of the oscillation frequency in the case of the boundary-value problem on a finite interval and for the problem of bounded solutions on the positive semiaxis with boundary condition at its left endpoint.
Keywords: averaging method, boundary-value problem, problem on the semiaxis, rapidly oscillating summands.
Received: 02.09.2016
English version:
Mathematical Notes, 2016, Volume 100, Issue 1, Pages 80–92
DOI: https://doi.org/10.1134/S0001434616070075
Bibliographic databases:
Document Type: Article
UDC: 517.928.7
Language: Russian
Citation: V. B. Levenshtam, P. E. Shubin, “Justification of the Averaging Method for Differential Equations with Large Rapidly Oscillating Summands and Boundary Conditions”, Mat. Zametki, 100:1 (2016), 94–108; Math. Notes, 100:1 (2016), 80–92
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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