APPLICATION OF LIAPUNOV'S FUNCTIONS FOR STUDYING THE BOUNDEDNESS OF SOLUTIONS OF SYSTEMS WITH IMPULSES

In the paper piecewise continuous analogues of Liapunov's functions have been introduced for systems of differential equations with impulses. They serve to study the problems for uniqueness, continuity and boundedness of the solutions of nonlinear systems with impulses. The asymptotic behaviour of the bounded solutions has also been considered.