On a boundary problem in Bohr space of multivariate almost periodic functions

There are many applications of the theory of integral equations of Fredholm type. In the literature, applications of Fredholm theory to the questions of boundary problems of ordinary differential or equations with partial derivatives are best known. In this work, we consider the analogs of some problems of the theory of differential equations in Bohr spaces, solutions of which could be found by application of the theory of limit Fredholm equations in Bohr spaces of almost periodic functions. Differential equations are not solvable in the space of almost periodic functions, in general. By this reason, we modify posing of the problems with the aim that the question could solvable in Bohr space. In the work, we state the equivalent variant of boundary problems in the space of almost periodic functions.