[en] In this paper, analogous approach as commonly used at the electric lines was adopted to model the magneostrictive delay line (MDL) operating on amorphous ribbons and wires like that of composition Fe₇₈Si₇B₁₅. Particularly, the damping and deterioration of the propagating magnetostrictive wave along the sample and their relation to the intrinsic material properties were of primary interest. Two damping factors taken into the consideration lead to a second-order differential equation of motion that could be solved analytically for instance of a rectangular-pulse excitation. The Laplace transform and convolution, in most of cases as a discrete procedure, has to be utilized in all other cases. Theoretical assessment confronted with some experimental results is showing a fairly good agreement