In this paper, the switching dynamics of a dc-ac resonant self-oscillating inverter is considered. Using bifurcation analysis coexisting steady-state solutions are predicted, which are increasingly relevant for low values of the quality factor of the resonant circuit. A repelling sliding region is found to be connected with the two unstable limit cycles that split the phase plane in three basins of attraction. Simulation results obtained from the switched model confirm the theoretical derivations.