Generalized Solutions of the Second Boundary-Value Problem for Differential-Difference Equations with Variable Coefficients on Intervals of Noninteger Length

The paper deals with the second boundary-value problem for a second-order differential-difference equation with variable coefficients on the interval $(0,d)$ as well as with the question of conditions on the right-hand side of the equation that ensure the smoothness of the generalized solutions of the boundary-value problem on the whole interval $(0,d)$ for $d \notin \mathbb{N}$.