Contribution to the problem of initial conditions of linear dynamical systems at a discontinuous driving function

The article is a contribution to the methods of solution of the differential equation∑i=0nd1,y(i)(l)=∑i=0nb1.x(i)(l)with discontinuous driving function x (t) and with generally non-zero initial conditions y(1) (0), i = 0, 1, …, n − 1.