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A preliminary study of the radio-frequency cavities for the EULIMA separated sector cyclotron is presented. A symmetrical cavity scheme with a multi-stem delta-shaped electrode has been studied. Numerical computations and model measurements have shown that a cavity with the desired frequency and peak voltages of 100 and 200 kV at injection and extraction is feasible. The prelinary design of the cooling and of the mechanical assembly of the cavity is briefly presented.