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The Kramers problem for quantum Bose-gases with specular-diffuse boundaryconditions of the kinetic theory is considered. On an example of Kramers'problem the new generalized method of a source of the decision of the boundaryproblems from the kinetic theory is developed. The method allows to receive thedecision with any degree of accuracy. At the basis of a method lays the idea ofrepresentation of a boundary condition on distribution function in the form ofa source in the kinetic equation. By means of integrals Fourier the kineticequation with a source is reduced to the integral equation of Fredholm type ofthe second kind. The decision is received in the form of Neumann's series.

The Kramers problem for quantum bose-gases with constant collision frequency and specular-diffusive boundary conditions