On the Method of Multivalent Guiding Functions for Periodic Solutions of Differential Inclusions.

The paper developed the method of multivalent vector guiding functions (MVGF). The notions of full collection of the strict MVGF's, full and sharp collection of the generalized MVGF's, and the regular MVGF were introduced and considered. These methods were extended to the problem of periodic trajectories of the controlled system obeying a differential inclusion. [ABSTRACT FROM AUTHOR]