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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 1, Pages 188–205 (Mi smj841)  
This article is cited in 5 scientific papers (total in 5 papers)

Existence theorems for the initial value problem for the Bogolyubov chain of equations in the space of sequences of bounded functions

M. A. Stashenko, G. N. Gubal'

Volyn State University of Lesya Ukrainka
Full-text PDF (277 kB) Citations (5)
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Abstract: We prove that the Cauchy problem for a nonsymmetric Bogolyubov chain of equations has a solution representable as an expansion in particle groups (clusters) whose evolution is governed by the cumulant (semi-invariant) of the evolution operator for this particle group in the space of sequences of summable and bounded functions.
Keywords: Bogolyubov equations, nonsymmetric system, cumulant (semi-invariant).
Received: 29.12.2004
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 1, Pages 152–168
DOI: https://doi.org/10.1007/s11202-006-0015-8
Bibliographic databases:
UDC: 517.9, 531.19
Language: Russian
Citation: M. A. Stashenko, G. N. Gubal', “Existence theorems for the initial value problem for the Bogolyubov chain of equations in the space of sequences of bounded functions”, Sibirsk. Mat. Zh., 47:1 (2006), 188–205; Siberian Math. J., 47:1 (2006), 152–168
Citation in format AMSBIB
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\paper Existence theorems for the initial value problem for the Bogolyubov chain of equations in the space of sequences of bounded functions
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\vol 47
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\pages 188--205
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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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