Continuous dependence of the solution of a system of differential equations with impulses on the impulse hypersurfaces

AbstractIn the present paper the initial value problem is considered for systems of ordinary differential equations with impulses where the impulses are realized in the moments when the integral curve of the system meets some of previously given hypersurfaces called impulse hypersurfaces. Sufficient conditions for the continuous dependence of the solution on the impulse hypersurfaces are found