Hard X-ray and microwave observations of multiply-impulsive solar bursts, identified in the OSO-S data, have been analyzed in a search for the physical basis of the multiplicity of spikes within these events. Spectra in both frequency ranges have been used to determine whether or not the source p roperties change from peak to peak within individual bursts. Two categories of microwave spectral behaviour have been identified: those events during which the microwave turnover frequency and spectral shape remain the same from peak to peak, and those during which the turnover f.ret.uei,cy and spectral shape change significantly.1'liese categories correspond to two classes of multiply-impulsive bursts: those fc;r which the emission can be characterized by a constant magnetic field and therefore a single source region, in which case the multiplicity may be due to modulation of the emission process; and those in which groups of component spikes appear to originate in regions of different magnetic-field strengths, corresponding to separate source regions which flare sequentially. Examples of the latter type of events are presented, with a detailed analysis of the discrete flaring regions and estimates of their spatial separations.