Koval'chyk Y. Using of continual Wiener and Feynman integrals in the mathematical models of diffusion

The thesis is dedicated to construction of mathematical models in the diffusion theory and trybology, using differential equations of parabolic types with variables coefficients,and to working out methods of finding their solutions. The new mathematical models are proposed,what describe a mass transfer in solids, diffusion in the melt during crystallization of two-phase structures, distribution of temperatures on macro- and microlevels due to friction of solids whith heteroge- neouse surface. Their solutions are presented in compact analytical form in terms of continual Wiener and Feynman integrals. The methods for their exact and approximate calculations are proposed. Application in mathematical modelling and different fields of mathematics is possible.