Slyvka-Tylyshchak A. Problems of mathematical physics with random factors

The thesis is devoted to the application of stochastic processes to study the properties of solutions of problems hyperbolic and parabolic types of mathematical physics with random factors. The sufficient conditions of existence with probability one of twice continuously differentiable solution and generalized solution of the boundary-value problems of heterogeneous string vibration, of round membrane's vibration and rectangular parallelepiped vibration with Orlicz random initial conditions have been found. Estimations for distribution of the supremum of such solutions of the problems have been obtained too.