Unique solvability of the inverse problem for the heat equation with nonlocal boundary conditions

We consider the inverse problem of source identification for the heat conduction problem. The neoclassical formulation of the direct problem with integral boundary condition is used. Conditions for unique solvability of the inverse problem are obtained. __________ Translated from Prikladnaya Matematika i Informatika, No. 23, pp. 36–50, 2006.