A local existence theorem of the solution of the Cauchy problem for BBGKY chain of equations represented in cumulant expansions in the space E_{ξ}

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.

Bibliographic Details
Main Authors: Myhaylo O. Stashenko, Halyna M. Hubal
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2004-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol24/1/art/opuscula_math_2413.pdf