## Integral conditions in the inverse problems of heat conduction

Thermal processes of new technological methods of heat treatment (thermocyclic, electropulse) of metals and alloys are considered in the paper. Mathematical models of the temperature field in a moving tape and a wire with cyclically acting pulsed heat sources are considered. Based on these models, the formulation of inverse problems for homogeneous and inhomogeneous thermal conductivity equations is proposed. For each case (internal, external heat source or a combination), the appropriate method for solving the inverse problem is proposed. The integral condition of heat balance is used