The smoothness of generalized waveforms for the problem of rotation of the shell oscillations depending on certain nonsummable coefficients

In the paper we consider a problem of oscillations of rotation with certain nonsummable coefficients. Under certain conditions on the coefficients the smoothness of generalized waveforms in the introduced special weight spaces is proved. It is shown that the smoothness of waveforms are closely related to such factors characterizing the membrane, like thickness and shape.