IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH CAUSAL OPERATORS

TitleIMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH CAUSAL OPERATORS
Publication TypeJournal Article
Year of Publication2017
AuthorsJABEEN TAHIRA, AGARWAL RAVIP, O’REGAN DONAL, LUPULESCU VASILE
JournalDynamic Systems and Applications
Volume26
Issue3&4
Start Page411
Pagination14
Date Published2017
ISSN1056-2176
AMS Subject Classification34A37, 34K05
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.
PDFhttps://acadsol.eu/dsa/articles/26/34/2.pdf
DOI10.12732/dsa.v26i34.2
Refereed DesignationRefereed