THERMAL-EQUILIBRIUM IN A ONE-DIMENSIONAL SYSTEM WITH CONTINUOUS FEEDBACK

The presence of one-dimensional steady temperature distributions in a system with feedback is investigated. It is assumed that the feedback is defined by a fixed continuous mapping. Radially symmetric temperature distributions in a system for controlling the heating of a thin circular plate with a concentric cut are considered. The problem reduces to the solvability of a boundary-value problem for a functional-differential equation with ordinary derivatives.