The main stages of development of the theory of superconducting systems with overlapping energy bands are formulated. The main references of the classical papers of the authors of this theory (Prof. V. A. Moskalenko and his co-workers) are listed.The list also includes papers related to high-temperature superconductivity. Some peculiarities of the two-band model, which give qualitatively new results in comparison with the usual one-band model, are described. The application of the two-band model for the description of the thermodynamical and magnetical properties of the compound MgB2 is also discussed.

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