TY - JOUR ID - Stashenko2009 LB - Stashenko2009 AU - Stashenko, Mykhailo O. AU - Hubal, Halyna M. TI - On the property of the BBGKY hierarchy solution in cumulant representation ST - On the property of the BBGKY hierarchy solution in cumulant representation JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2009 VL - 29 IS - 2 SP - 209 EP - 216 DO - http://dx.doi.org/10.7494/OpMath.2009.29.2.209 UR - http://dx.doi.org/10.7494/OpMath.2009.29.2.209 AB - 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. KW - BBGKY hierarchy of equations KW - nonsymmetric system KW - cumulant (semi-invariant) KW - equilibrium distribution functions SN - 1232-9274 ER -