IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH CAUSAL OPERATORS

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Abstract

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.
Original languageEnglish (Ireland)
Number of pages14
JournalDynamic Systems And Applications
Volume26
DOIs
Publication statusPublished - 1 Sep 2017

Authors (Note for portal: view the doc link for the full list of authors)

  • Authors
  • Jabeen, T,Agarwal, RP,O'Regan, D,Lupulescu, V

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