IJPAM: Volume 108, No. 4 (2016)

THE CONVERGENCE OF THE SERIES OF THE SOLUTION
OF THE CAUCHY PROBLEM FOR THE BBGKY HIERARCHY
OF EQUATIONS IN MANY-KIND PARTICLE SYSTEMS

Halyna M. Hubal
Computer Science and Information Technologies Faculty
Lutsk National Technical University
75 Lvivs'ka str., Lutsk 43018, UKRAINE


Abstract. A many-kind particle system is considered in this paper. The convergence of the series of the solution of the Cauchy problem for the BBGKY hierarchy of equations in cumulant representation is proved.

Received: May 14, 2016

AMS Subject Classification: 35Q82

Key Words and Phrases: BBGKY hierarchy of equations, many-kind particle system, cumulant representation, interaction region, interaction potential

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DOI: 10.12732/ijpam.v108i4.20 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 108
Issue: 4
Pages: 957 - 965


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