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.
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 47, No. 1, pp. 188–205, January–February, 2006.
Original Russian Text Copyright © 2006 Stashenko M. A. and Gubal' G. N.
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Stashenko, M.A., Gubal', G.N. Existence Theorems for the Initial Value Problem for the Bogolyubov Chain of Equations in the Space of Sequences of Bounded Functions. Sib Math J 47, 152–168 (2006). https://doi.org/10.1007/s11202-006-0015-8
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DOI: https://doi.org/10.1007/s11202-006-0015-8