TY - JOUR ID - Stashenko2004 LB - Stashenko2004 AU - Stashenko, Myhaylo O. AU - Hubal, Halyna M. TI - A local existence theorem of the solution of the Cauchy problem for BBGKY chain of equations represented in cumulant expansions in the space Eξ ST - A local existence theorem of the solution of the Cauchy problem for BBGKY chain of equations represented in cumulant expansions in the space Eξ JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2004 VL - 24 IS - 1 SP - 161 EP - 168 DO - http://dx.doi.org/10.7494/OpMath.2004.24.1.161 UR - http://dx.doi.org/10.7494/OpMath.2004.24.1.161 AB - 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. KW - non-symmetrical particle systems KW - space of the sequences of continuous bounded functions KW - BBGKY chain of equations KW - cumulant SN - 1232-9274 ER -