This final report summarizes the research performed during the time period from 8/1/2010 to 7/31/2013. In general, our work was going on in two directions: - analysis of factors limiting operation of dielectric-loaded accelerating (DLA) structures where the main problem is the occurrence of multipactor on dielectric surfaces, and - studies of effects causing the RF breakdown in metallic accelerating structures. Correspondingly, our report below consists of two parts. The studies of dielectric-loaded accelerating (DLA) structures were focused on the development of self-consistent, non-stationary codes describing the occurrence, growth and saturation of multipactor. To the best of our knowledge, in practically all theoretical studies of multipactor the electric DC field was considered as a parameter, while in DLA structures this field is produced by the cloud of secondary electrons located in the vicinity of stmcture walls.