INEQUALITIES AND EXPONENTIAL DECAY OF CERTAIN DIFFERENTIAL EQUATIONS OF FIRST ORDER IN TIME VARYING DELAY

TitleINEQUALITIES AND EXPONENTIAL DECAY OF CERTAIN DIFFERENTIAL EQUATIONS OF FIRST ORDER IN TIME VARYING DELAY
Publication TypeJournal Article
Year of Publication2017
AuthorsKORKMAZ E, TUNC C
JournalDynamic Systems and Applications
Volume26
Issue1
Start Page157
Pagination10
Date Published2017
ISSN1056-2176
AMS Subject Classification34C11, 34D20
Abstract

In this paper, we give sufficient conditions to guarantee exponential decay of solutions to zero of the time varying delay differential equation of first order. By using the LyapunovKrasovskii functional approach, we establish new results on the exponential decay of solutions, which include and improve some related results in the literature.
PDFhttps://acadsol.eu/dsa/articles/26/1/9.pdf
DOI10.12732/dsa.v26i1.9
Refereed DesignationRefereed