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Existence and uniqueness results for impulsive delay differential equations. (English) Zbl 0955.34068

The authors establish existence and uniqueness results for a general class of impulsive differential equations of the form \[ x'(t)= f(t,x_t),\quad t\geq t_0,\quad \Delta x(t)= I(t, x_{t^-}),\quad t=\tau_k,\quad t> t_0. \] In addition, a discussion of these problems is presented.

MSC:

34K45 Functional-differential equations with impulses
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