This article is cited 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

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).

UDC: 517.9, 531.19

Received: 29.12.2004

 English version: Siberian Mathematical Journal, 2006, 47:1, 152–168

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