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Russian Mathematical Surveys, 2020, Volume 75, Issue 3, Pages 427–444
DOI: https://doi.org/10.1070/RM9933 (Mi rm9933) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Krylov–Bogolyubov averaging

W. Jiana, S. B. Kuksinbac, Y. Wua

a School of Mathematical Sciences, Fudan University, Shanghai, China
b Université Paris VII — Denis Diderot, UFR de Mathématiques, Paris, France
c St. Petersburg State University
English version PDF (597 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/RM9933
Abstract: A modified approach to the classical Krylov–Bogolyubov averaging method is presented. It was developed recently for studying partial differential equations, enables one to treat Lipschitz perturbations of linear systems with purely imaginary spectrum, and may be generalized to the case of systems of PDEs with small non-linearities.
Bibliography: 10 titles.
Keywords: Krylov–Bogolyubov method, locally Lipschitz vector-field, Hamiltonian equations.
Funding agency Grant number
Russian Science Foundation 18-11-00032
National Natural Science Foundation of China 11790272
11421061
The research of the second author was supported by the Russian Science Foundation (grant no. 18-11-00032). The research of the first and third authors was supported by the National Natural Science Foundation of China (grant nos. 11790272 and 11421061).
Received: 25.04.2019
Bibliographic databases:
Document Type: Article
UDC: 517.928.7
MSC: Primary 34C29; Secondary 37J05
Language: English
Original paper language: Russian
Citation: W. Jian, S. B. Kuksin, Y. Wu, “Krylov–Bogolyubov averaging”, Russian Math. Surveys, 75:3 (2020), 427–444
Citation in format AMSBIB
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\by W.~Jian, S.~B.~Kuksin, Y.~Wu
\paper Krylov--Bogolyubov averaging
\jour Russian Math. Surveys
\yr 2020
\vol 75
\issue 3
\pages 427--444
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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