Opuscula Math. 24, no. 1 (2004), 161-168

Opuscula Mathematica

# A local existence theorem of the solution of the Cauchy problem for BBGKY chain of equations represented in cumulant expansions in the space Eξ

Myhaylo O. Stashenko
Halyna M. Hubal

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.

Mathematics Subject Classification: 35Q30.

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