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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1992 Volume 91, Number 1, Pages 120–128 (Mi tmf5565)

This article is cited in 6 papers

Solutions of Bogolyubov equations for one-dimensional system of hard spheres

V. I. Gerasimenko

Mathematics Institute, Academy of Sciences of the Ukrainian SSR

Abstract: For a one-dimensional system of particles that interact as hard elastic spheres the existence of global solutions to the Cauehy problem for the Bogolyubov equations is proved for initial data in spaces of sequences of summable and bounded functions.

Received: 22.07.1991


 English version:
Theoretical and Mathematical Physics, 1992, 91:1, 410–417

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