Boundary-value problems with integral conditions for a system of Lame equations in the space of almost periodic functions

Abstract

We study a problem with integral boundary conditions in the time coordinate for a system of Lame equations of dynamic elasticity theory of an arbitrary dimension. We find necessary and sufficient conditions for the existence and uniqueness of solution in the class of almost periodic functions in the spatial variables. To solve the problem of small denominators arising while constructing solutions, we use the metric approach.

Keywords

• Lame equation
• integral boundary conditions
• small denominators