LIPSCHITZ STABILITY OF DELAY DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES

TitleLIPSCHITZ STABILITY OF DELAY DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES
Publication TypeJournal Article
Year of Publication2019
AuthorsHRISTOVA S., IVANOVA K.
JournalDynamic Systems and Applications
Volume28
Issue1
Start Page167
Pagination16
Date Published01/2019
ISSN1056-2176
AMS Subject Classification34A37, 34D20
Abstract

The Lipschitz stability for nonlinear differential equations with non-instantaneous impulses and variable delays is studied. The impulses start abruptly at some points and their action continue on given finite intervals. The delay is time variable. Some sufficient conditions for uniform Lipschitz stability and uniform global Lipschitz stability are obtained. Examples are given to illustrate the results.
PDFhttps://acadsol.eu/dsa/articles/28/1/10.pdf
DOI10.12732/dsa.v28i1.10
Refereed DesignationRefereed
Full Text

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