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Zbl 0955.34068
Ballinger, George; Liu, Xinzhi
Existence and uniqueness results for impulsive delay differential equations. (English)
[J] Dyn. Contin. Discrete Impulsive Syst. 5, No.1-4, 579-591 (1999). ISSN 1201-3390

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

MSC 2000:: *34K45 Equations with impulses

Keywords: impulsive differential equations; existence; uniqueness

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