It is shown that in the dynamic properties of acoustoelectronic devices in the form of a coaxial system including two cylindrical piezoceramic shells with electric excitation of each shell at its resonant frequency, two groups of related properties can be distinguished. The first of them -potentially possible propertiesis determined by these devices design characteristics such as electrophysical parameters of the shells piezoceramics, diameters, thicknesses and resonance frequencies of shells, physical parameters of their filling media. The second group -operatively controlled properties -is formed by their dynamic properties operatively controlled from the electrical side of the devices. By the method of numerical analysis with specific reference on acoustic fields, the regularities of the behavior of potentially possible dynamic properties of such devices for variants of their designs, when the inner shell resonance frequency is less, close or more than the outer shell resonance frequency were established. The quantitative influence of operational dynamic control methods from the electric side of the devices on them was obtained. The physical interpretation of the described dynamic properties causes was given.