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

For a one-dimensional system of particles that interact as hard elastic spheres the existence of global solutions to the Cauchy problem for the Bogolyubov equations is proved for initial data in spaces of sequences of summable and bounded functions.Institute of Mathematics, Uzb. SSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 91, No. 1, pp. 120–128, April, 1992.