Existence, uniqueness and continuability of solutions of impulsive differential-difference equations (Q5916407)

Processes, which can be adequately modeled by impulsive differential-difference equations, are characterized by a changing of their state as well as by the fact that the processes under consideration depend on their history at each moment of time. In this paper, existence, uniqueness, and continuability of solutions to nonlinear systems of impulsive differential-difference equations are considered. The impulsive moments occur when the integral curve of the system meets given hypersurfaces situated in the extended phase space.