Abstract
Collective oscillations in the superconductor with three energy bands, overlapping on the Fermi surface, are studied. The equation determining the frequency of the collective oscillations is obtained both for the case with great and reduced charge carrier densityΔ <μ <ω D (μ is chemical potential,ω D is Debye frequency). It is shown the possibility arising two additional exciton-like collective modes at the definite relationships between theory parameters in addition to acoustical Bogolyubov-Anderson one. In the case of great charge carrier density these two collective modes are caused due to fluctuations of the phases of order parameters from different bands. In the case of reduced charge carrier density these two collective modes acquire essential dependence on the chemical potential, what is a result of the mixing of the fluctuations of the phases and amplitudes of order parameters from different bands.
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