Boundary value problem for Fuchsian partial differential equations and reflection of singularities
Boundary value problem with integral conditions for a linear third-order equation.
Boundary value problems of linear elastostatics and hydrostatics on Lipschitz domains
Boundary value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations
In the present paper we study the unique solvability of two non-local boundary value problems with continuous and special gluing conditions for parabolic-hyperbolic type equations. The uniqueness of the solutions of the considered problems are proven by the “abc” method. Existence theorems for the solutions of these problems are proven by the method of integral equations. The obtained results can be used for studying local and non-local boundary-value problems for mixed-hyperbolic type equations...
Boundary-value problems of Hilbert type for linear p-areolar differential equations in the form