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

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:	non-symmetrical particle systems space of the sequences of continuous bounded functions BBGKY chain of equations cumulant
Online Access:	http://www.opuscula.agh.edu.pl/vol24/1/art/opuscula_math_2413.pdf

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spelling	doaj-20f6b59942fb493d91ecdadb4f0561352020-11-24T21:24:00ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742004-01-012411611682413A local existence theorem of the solution of the Cauchy problem for BBGKY chain of equations represented in cumulant expansions in the space E_{ξ}Myhaylo O. Stashenko0Halyna M. Hubal1Volyn State University named after Lesya Ukrainka, Department of Mathematics, 13 Voli av., Lutsk 43025, UkraineVolyn State University named after Lesya Ukrainka, Department of Mathematics, 13 Voli av., Lutsk 43025, UkraineIt 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.http://www.opuscula.agh.edu.pl/vol24/1/art/opuscula_math_2413.pdfnon-symmetrical particle systemsspace of the sequences of continuous bounded functionsBBGKY chain of equationscumulant
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Myhaylo O. Stashenko Halyna M. Hubal
spellingShingle	Myhaylo O. Stashenko Halyna M. Hubal 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} Opuscula Mathematica non-symmetrical particle systems space of the sequences of continuous bounded functions BBGKY chain of equations cumulant
author_facet	Myhaylo O. Stashenko Halyna M. Hubal
author_sort	Myhaylo O. Stashenko
title	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}
title_short	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}
title_full	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}
title_fullStr	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}
title_full_unstemmed	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}
title_sort	local existence theorem of the solution of the cauchy problem for bbgky chain of equations represented in cumulant expansions in the space e_{ξ}
publisher	AGH Univeristy of Science and Technology Press
series	Opuscula Mathematica
issn	1232-9274
publishDate	2004-01-01
description	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.
topic	non-symmetrical particle systems space of the sequences of continuous bounded functions BBGKY chain of equations cumulant
url	http://www.opuscula.agh.edu.pl/vol24/1/art/opuscula_math_2413.pdf
work_keys_str_mv	AT myhayloostashenko alocalexistencetheoremofthesolutionofthecauchyproblemforbbgkychainofequationsrepresentedincumulantexpansionsinthespaceex AT halynamhubal alocalexistencetheoremofthesolutionofthecauchyproblemforbbgkychainofequationsrepresentedincumulantexpansionsinthespaceex AT myhayloostashenko localexistencetheoremofthesolutionofthecauchyproblemforbbgkychainofequationsrepresentedincumulantexpansionsinthespaceex AT halynamhubal localexistencetheoremofthesolutionofthecauchyproblemforbbgkychainofequationsrepresentedincumulantexpansionsinthespaceex
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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}

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