DELAY-DIFFERENTIAL EQUATIONS WITH INFINITELY MANY STATE-DEPENDENT IMPULSES

Abstract

The paper deals with existence and uniqueness of the solution to a system of delay-differential equations with infinitely many state-dependent impulses. A simple transformation allows us to show that the problem can be treated as a system of delay-differential equations without impulse. The fixed point approach is then applied for an appropriate norm. Ordinary differential equations with impulses can be seen as a special case.