Continuous dependence on initial values for impulsive delay differential equations Original Research Article

This paper studies the property of continuous dependence of solutions with respect to initial values for impulsive delay differential equations. Criteria on continuous dependence of solutions with respect to initial functions are established. It is shown, however, that due to the discontinuities of the function space and the time delays in the system, continuous dependence with respect to the initial time, or more generally with respect to the entire initial data, is unfortunately not generally satisfied.