Boundary-Value Problems for Differential-Difference Equations with Incommensurable Shifts of Arguments Reducible to Nonlocal Problems

Abstract

We consider boundary-value problems for differential-difference equations containing incommensurable shifts of arguments in higher-order terms. We prove that in the case of finite orbits of boundary points generated by the set of shifts of the difference operator, the original problem is reduced to a boundary-value problem for differential equation with nonlocal boundary conditions.