@Article{Stashenko2004, author = "Stashenko, Myhaylo O. and Hubal, Halyna M.", title = "A local existence theorem of the solution of the Cauchy problem for BBGKY chain of equations represented in cumulant expansions in the space EΞΎ", journal = "Opuscula Math.", year = "2004", volume = "24", number = "1", pages = "161--168", doi = "http://dx.doi.org/10.7494/OpMath.2004.24.1.161", url = "http://dx.doi.org/10.7494/OpMath.2004.24.1.161", abstract = "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.", keywords = "non-symmetrical particle systems, space of the sequences of continuous bounded functions, BBGKY chain of equations, cumulant", issn = "1232-9274" }