“…With the use of rather simple temperature dis tributions that are expected and the heat flux density vector, which are allowable for the above described minimizing and maximizing functionals, these esti mates allow one to obtain practically important reli able estimates of the possible interval of variation of thermal resistance influencing on the thermal state of the object. This effect, foremost, must be taken into account in using construction materials with an inho mogeneous structure, to which belong composites, which are widely used in the technique in [19,20] (including heat protection systems [21,22]), as well as in processing experimental measurements of thermo physical characteristics for different heterogeneous media [23][24][25][26][27] and in testing the heat stressed struc tures [28][29][30][31][32][33].…”