Abstract
The methods developed in the theory of superconductivity are applied to the study of the properties of nuclear matter. The interaction that brings to superfluidity of nuclear matter is considered to be weak. Nucleon-nucleon interaction is taken in the most general form. Asymptotic solutions of the system of equations are found, which allow one to obtain the conditions of superfluidity of the nuclear matter. The conditions of superfluidity are in general equivalent to the requirement of predominance of attraction in nucleon-nucleon potentials at the Fermi surface energy. The data on nucleon-nucleon potentials allow one to conclude that the conditions of superfluidity of nuclear matter are fulfilled.
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