Systems theory study of heat fluxes in case of non-identically zero initial conditions

The authors generalize their results presented in their previous papers [1- 3] on the system theory study of heat flux in cases of non-identically zero temperature distribution in the heat conducting system at zero moment of t ime. In addition, the authors generalize Garbai's integral equation examine d in their paper [4] for the case of non-identically vanishing initial cond itions. Similarly, as in the cases of the above mentioned articles, the aut hors assume that the heat-conducting material characteristics of the substa nces examined are constant and therefore processes are considered linear.