<p>We propose a procedure aimed at finding the one-dimensional nonstationary temperature field formed in a multilayer plate under nonlinear boundary conditions. It is based on the integral representations of the solutions of heat-conduction problem with the help of the Green function for a multilayer plate by using generalized functions and linear splines, as well as the corresponding method for finding integral dependences on the boundary temperatures. The results of numerical analyses of the nonstationary temperature field in a five-layer plate heated by a flat heat source of constant intensity concentrated on one of the interfaces of layers are presented. We also perform the comparison of temperatures obtained by using these methods.</p>