On a mixed nonstationary problem of heat conduction for a half-space

The paper deals with some mixed nonstationary problem of heat conduction for a homogeneous rigid half-space. The body is assumed to be initially at zero temperature, the boundary plane is kept at a known temperature f(t) for time 0 ≤ t ≤ t0 and is insulated for t > t0. The exact solution is obtained by using the integral Fourier method. Some special case is solved in details.