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Impulsive functional differential equations with causal operators. (English) Zbl 1386.34127

Summary: In this paper we present an existence result for a class of impulsive differential equations with causal operators and prove that the solution set is compact in the space of regulated functions. The results are obtained under conditions with respect to the Hausdorff measure of noncompactness. An application from optimal control is given to illustrate our main result.

MSC:

34K30 Functional-differential equations in abstract spaces
34K45 Functional-differential equations with impulses
49K27 Optimality conditions for problems in abstract spaces
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