This article is cited in 4 papers

Improvement of an Estimate of the Global Existence Theorem for Solutions of the Bogoliubov Equations

G. N. Gubal', M. A. Stashenko

Volyn State University of Lesya Ukrainka

Abstract: For a one-dimensional system of particles interacting like elastic balls, we improve an estimate of the existence theorem for the global solution of the Cauchy problem for the Bogoliubov equations with initial data from the space of sequences of measurable functions.

Keywords: Bogoliubov equations, nonsymmetric system.

Received: 08.02.2005
Revised: 23.03.2005

DOI: 10.4213/tmf1910

 English version: Theoretical and Mathematical Physics, 2005, 145:3, 1736–1740

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