[en] A general theory of the neutron-acoustic resonance is developed for arbitrary geometry of the Lane diffraction of neutrons in a vibrating crystal. The resonant suppression or enhancement of the anomalous transmission effect, great temporarypulses and multifrequency Pendello sung effect are shown to be possible at mixing of the neutron waves in the crystal. The same effects take place at resonant mixing of the neutron waves affected by the radio-frequency field (neutron-magnetic resonance). Besides, in this situation there arises the multifrequency rotation of the neutron polarization vector