Smoothness of generalized solutions of the boundary-value problem for differential-difference equations with incommensurable shifts

The differential equation -(v-varepsilon Rv)"(t)=f_0(t), tin(0,d), with the boundary condition v(t)=0, tnotin(0,d), is considered. It is assumed that (Rv)(t)=sum_{j=1}^ma_jv(t+tau_j), tau_jinBbb R, f_0in L_2(0,d), 0