[en] Excitation probabilities of nuclei related to the decay of the bound μ-meson are calculated. The low-lying nuclear excited states are studied. The nuclear oscillations are assumed to be '' adiabatic '' as compared to the rate of variation of the electromagnetic interaction between the muon and the nucleus. It is shown that the low-lying monopole and magnetodipole oscillations are excited when the meson decays. Concrete calculations are carried out for a number of deformed nuclei. The 0sup(+) excitations have been described using the Davydov-Chaban model. The results have shown that in the nuclei under consideration the excitation probability normalized to a decay event is approximately in the range from 10sup(-3) to 10sup(-2). The angular correlation is found between the directions of the electron emitted in the decay and the γ quantum which is a result of discharge of the magnetodipole nuclear excitation