@Article{Stashenko2009, author = "Stashenko, Mykhailo O. and Hubal, Halyna M.", title = "On the property of the BBGKY hierarchy solution in cumulant representation", journal = "Opuscula Math.", year = "2009", volume = "29", number = "2", pages = "209--216", doi = "http://dx.doi.org/10.7494/OpMath.2009.29.2.209", url = "http://dx.doi.org/10.7494/OpMath.2009.29.2.209", abstract = "We consider a one-dimensional nonsymmetric system of particles interacting via the hard-core potential. For this system, we prove that the BBGKY hierarchy solution in a cumulant representation is an equilibrium in the case of equilibrium initial data.", keywords = "BBGKY hierarchy of equations, nonsymmetric system, cumulant (semi-invariant), equilibrium distribution functions", issn = "1232-9274" }