A METHOD OF PAIRED INTEGRAL EQUATIONS IN THE REGION OF LAPLACE TRANSFORMS FOR SOLVING NONSTATIONARY HEAT CONDUCTION PROBLEMS WITH MIXED DISCONTINUOUS BOUNDARY CONDITIONS N. I. Yurchuk , V. P. Kozlov , and P. A. Mandrik UDC 517.968, 536.24 On the basis of the method developed, the solutions of four problems of mathematical physics are obtained for an infinite plate (a plane layer of thickness z = h) with assignment of mixed discontinuous boundary conditions (BC) on one of the surfaces z = 0 of the plate and unmixed BC on the other surface z = h. JEPTER7492019993 JEPTER749203