Peliushkevych O. Degenerate problems for hyperbolic systems of first order equations with two independent variables

In the thesis the conditions of the generalized and classical global solvabilities of mixed problem for hyperbolic system of first order linear equations with horizontal characteristics and integral terms in the rectangle are examined. The sufficient correct solvability conditions of the boundary value problems for semilinear hyperbolic system of first order equations with horizontal characteristics in the quadrangle and sector are investigated. The theorems of existence and uniqueness of local generalized solutions of mixed problems and problems with contact gap for quasi-linear hyperbolic systems of equations with vertical characteristics in the region boundary domain.