Geodesic
Existence theorem for solutions of the Bogolyubov equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 3, pp. 344-363

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An existence theorem is proved for a weak solution of Bogolyubov' s system of kinetic equations [1, 2] for small perturbations of the equilibrium Gibbs distribution in the case of onedimensional statistical mechanics. 
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     author = {Ya. G. Sinai and Yu. M. Sukhov},
     title = {Existence theorem for solutions of the {Bogolyubov} equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {19},
     number = {3},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_19_3_a6/}
}
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Ya. G. Sinai; Yu. M. Sukhov. Existence theorem for solutions of the Bogolyubov equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 19 (1974) no. 3, pp. 344-363. http://geodesic.mathdoc.fr/item/TMF_1974_19_3_a6/