[en] The process of irradiation of targets consisting of DT-mixture covered with a gold shell, by electron and ion beams is analytically investigated. The DT-mixture is compressed for account of thermal shell expansion, warms up and the DT-reaction occurs in it with energy release. Main attention in the study is given to qualitative and semiquantitative consideration of these phenomena: Plane (unit square layer limited on the DT-mixture side by an impenentrable wall), cylindrical (unit height cylinder) and spherically-symmetric targets. Analytical formulas of calculation of energy DT-reaction yield depending on irradiation conditions are derived. The comparison of results of calculations by formulas with the computer numerical solution of hydrodynamics equations has shown that formulas satisfactorily described the processes under considera-- tion. The reason of better efficiency of target irradiation by protons and generally by ions than electrons is discussed. The conclusion is drawn that at target irradiation by ions a considerably greater part of kinetic energy of internal layers of the shell transfers into the DT-mixture internal energy and DT-mixture compression is closer to the adiabatic one, than at electron irradiation