On solvability of some boundary value problems for a biharmonic equation with periodic conditions

Abstract

In the paper we study questions about solvability of some boundary value problems with periodic conditions for an inhomogeneous biharmonic equation. The exact conditions for solvability of the problems are found.

On the solvability of the main boundary value problems for a nonlocal Poisson equation

“…Solvability issues for certain partial differential equations with involution were covered in [2][3][4]. Furthermore, in [12,27,28,32], boundary value problems for second-and fourth-order elliptic equations were studied in the case when an involution appears in the boundary conditions. This paper studies the principal boundary value problems for a nonlocal Poisson equation.…”