Veresh K. Boundary-value problem for equations of mathematical physics with random factors

In the thesis the first boundary-value problem for a parabolic and hyperbolic equation of mathematical physics with Orlicz random factors was considered. The Fourier method was justified for: homogeneous parabolic equation with random initial condition from the Orlicz space; nonhomogeneous parabolic equation with Orlicz right side and trivial initial and boundary conditions; homogeneous hyperbolic equation with random initial condition from Orlicz space in the multidimensional case. Estimates for the distribution of supremum of solution for parabolic equation with random factors for Orlicz space are found. Conditions for the existence with probability one of the genralized solution of the boundary-value problem for a homogeneous hyperbolic equation of mathematical physics with random initial condition from Orlicz space in the multidimensional case are found.