Lobachevskii Journal of Mathematics.
Pleiades Publishing.
Том 42.
2021.
С. 875-888
Abstract: The purpose of this article is to demonstrate with a simple example the complexities that arise when considering boundary-value problems for differential-difference equations. In this paper we discuss in detail smoothness issues of solutions to the Dirichlet problem for linear differential-difference equation with integer shifts. After analysis of this example we consider more general statement of the problem and certain results concerning the solvability and smoothness of solutions. © 2021, Pleiades Publishing, Ltd.