|Title||IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH CAUSAL OPERATORS|
|Publication Type||Journal Article|
|Year of Publication||2017|
|Authors||JABEEN TAHIRA, AGARWAL RAVIP, O’REGAN DONAL, LUPULESCU VASILE|
|Journal||Dynamic Systems and Applications|
|AMS Subject Classification||34A37, 34K05|
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.