DOI: 10.7494/opmath.2004.24.1.161 ISSN: 1232-9274

A local existence theorem of the solution of the Cauchy problem for BBGKY chain of equations represented in cumulant expansions in the space E<sub>ξ</sub>

Myhaylo O. Stashenko, Halyna M. Hubal

It is proved convergence of solution in cumulant expansions of the initial value problem for BBGKY chain of equations of non-symmetrical one-dimensional system of particles which interact via a short-range potential in the space \(E_{\xi}\) of the sequences of continuous bounded functions.

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