Boundary value problems for a spectrally loaded heat operator with load line approaching the time axis at zero or infinity

Abstract

We continue the study of boundary value problems for spectrally loaded heat equations in unbounded domains for the case in which the order of the derivative in the loaded term coincides with that of the differential part of the equation and the motion of the load point with respect to the space variable is given by the law -x(t) = t (omega) , -a < omega < 1/2.