IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH CAUSAL OPERATORS

Tahira Jabeen,Ravi P. Agarwal,Donal O’Regan,Vasile Lupulescu

DYNAMIC SYSTEMS AND APPLICATIONS（2017）

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摘要

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.

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关键词

Impulsive differential equations,Causal operators,Regulated functions,Measure of noncompactness,Optimal control

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