Proceedings of the International scientific and practical conference ―Current Issues in Science‖ (January 9-11, 2026) / Publisher website: www.naukainfo.com. – Dresden, Germany, 2026. – 179 p.

152 Case 3. Let   0 P   , where const P  0 . Then we obtain P p 0    in image space. Results. We can obtain analytically unknown functions in these three cases in space of originals. For example, in the case 3 for present stresses in the type   0 P   we obtained with using of Laplace‘s integral transformation theorems following formulas for temperature and heat fluxes distributions in depth of contact bodies:                     i i i j i i i i a x erfc fVP t x 2 2 2 , 0                               j i j i i i j ii j i j i a x h h 2 4 exp 2 2 2 2                           j i j i i i h a x erfc 2 2 ,                           j i j i i i i i h a x fVP q x 2 4 exp 1 2 , 2 0                             j i j i i i j ii j i a x h h 2 4 exp 2 2 2 2                           j i j i i i h a x erfc 2 2 , here      x t e dt erf x 0 2 2  – function of errors, and           x t e dt erf x erfс x 2 2 1  .