ULAM TYPE STABILITY RESULTS FOR NON-INSTANTANEOUS IMPULSIVE DIFFERENTIAL EQUATIONS WITH FINITE STATE DEPENDENT DELAY

TitleULAM TYPE STABILITY RESULTS FOR NON-INSTANTANEOUS IMPULSIVE DIFFERENTIAL EQUATIONS WITH FINITE STATE DEPENDENT DELAY
Publication TypeJournal Article
Year of Publication2019
AuthorsAGARWAL RAVI, HRISTOVA SNEZHANA, O’REGAN DONAL
JournalDynamic Systems and Applications
Volume28
Issue1
Start Page47
Pagination16
Date Published10/2018
ISSN1056-2176
AMS Subject Classificationdifferential equations, existence, non-instantaneous impulses, state dependent delay, Ulam type stability
Abstract

In this paper a system with state dependent bounded delay and non-instantaneous impulses is considered. An existence result based on the Banach contraction principle is given. Several sufficient conditions for Ulam-type stability are obtained. An example is given to illustrate our results.
PDFhttps://acadsol.eu/dsa/articles/28/1/3.pdf
DOI10.12732/dsa.v28i1.3
Refereed DesignationRefereed
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