Integral Equations Related to Volterra Series and Inverse Problems: Elements of Theory and Applications in Heat Power Engineering

The paper considers two types of Volterra integral equations the first kind, arising in study inverse problems dynamics controlled heat power systems. main focus work is aimed at studying specifics classes kind that arise when describing nonlinear using apparatus integro-power series. subject area research represented by a simulation model exchange unit element, which describes change enthalpy with arbitrary changes fluid flow and supply. numerical results solving problem identification transient characteristics are presented. They illustrate fundamental importance practical recommendations based on sufficient conditions for solvability linear multidimensional kind. A new class systems integro-algebraic related to automatic control technical objects vector inputs outputs, distinguished. For such systems, given existence unique, sufficiently smooth solution. review literature these given.