Smoothness of Generalized Solutions of a Boundary-Value Problem for a Second-Order Differential-Difference Equation with Mixed Boundary Conditions
摘要
We consider a boundary-value problem with mixed boundary conditions for a second-order differential-difference equation on a finite interval (0, d). We prove existence of a generalized solution of the problem and study the conditions on the right-hand side of the differential-difference equation ensuring the smoothness of the generalized solution over the entire interval.