Geodesic
Existence of the weak solution of the Bogolubov's hierarchical equations for infinite classical enharmonic systems with constraints
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 18, Tome 152 (1986), pp. 165-180

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For a system of infinitely many classical constrained enharmonic oscillators the existence of the weak solution of the Bogolubov's hierarchical equations is proved. 
@article{ZNSL_1986_152_a13,
     author = {B. I. Shubov},
     title = {Existence of the weak solution of the {Bogolubov's} hierarchical equations for infinite classical enharmonic systems with constraints},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {165--180},
     publisher = {mathdoc},
     volume = {152},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_152_a13/}
}
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B. I. Shubov. Existence of the weak solution of the Bogolubov's hierarchical equations for infinite classical enharmonic systems with constraints. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 18, Tome 152 (1986), pp. 165-180. http://geodesic.mathdoc.fr/item/ZNSL_1986_152_a13/