DEATH OF THE SOLUTIONS OF SYSTEMS DIFFERENTIAL EQUATIONS WITH VARIABLE STRUCTURE AND IMPULSES

Abstract

Nonlinear non-autonomous systems ordinary differential equations with variable structure and impulses are investigated. The changing of the system right side and impulsive effects take place simultaneously in the so called switching moments. These moments coincide with the moments when the system trajectory cancels the switching functions which are generally nonlinear.

The main objective in the paper is to study the solutions which are not continuable up to infinity. The case of impulsive effects to be the cause of this phenomenon is studied.