Boundary problem for spectrally loaded operator of heat conduction

Border problems are considered In work for loaded operator heat conduction in fourth planes, referring to class function-differential operator and being of the form of: Lu + lambda Bu, where accordingly L - differential, but B - loaded part. The Particularity of the considered operator is that, first, spectral parameter. is a factor under loaded composed, secondly, order derived in loaded composed is an order of the differential part of operator and a third, point of the load, (x) over bar (t) definied function, moves with variable velocity i.e. derivative (x') over bar (t) not always is a zero.