On weak solution of a boundary value problem for an infinite triangular system of elliptic equations with Robin boundary conditions

摘要

Weak solution of the boundary value problem for the infinite triangular system of elliptic equations with Robin boundary conditions in the domain with Lipschitz boundary was introduced. The solution by volume and layer potentials was built by means of special convolution of sequences. The obtained system of boundary integral equations is equivalent to the boundary value problem. These integral equations have the same left side operators and differ only in their right sides that contain solutions of the equations of the system with previous numbers.