Full averaging of fuzzy impulsive differential inclusions

In this paper the substantiation of the method of full averaging for fuzzy impulsive differential inclusions is studied. We extend the similar results for impulsive differential inclusions with Hukuhara derivative (Skripnik, 2007), for fuzzy impulsive differential equations (Plotnikov and Skripnik, 2009), and for fuzzy differential inclusions (Skripnik, 2009)

AN EXISTENCE AND UNIQUENESS THEOREM TO THE CAUCHY PROBLEM FOR GENERALISED SET DIFFERENTIAL EQUATIONS

Abstract. In this paper the concept of generalized differentiability for set-valued mappings proposed by A.V. Plotnikov, N.V. Skripnik is used. The generalized set-valued differential equations with generalized derivative are considered, the existence and uniqueness theorem is proved

Differential Equations with Impulse Effects: Multivalued Right-hand Sides with Discontinuities

This monograph is an introduction to the theory of ordinary differential equations with jump conditions at discrete moments of time. From the contents: Pulse differential equations and inclusions Linear systems with multivalued trajectories Method of averaging in systems with pulse action Averaging of differential inclusions Differential equations with discontinuous right-hand sid