ASYMPTOTIC STABILITY IN DELAYED PERIODIC EQUATIONS BY AVERAGE CONDITIONS

TitleASYMPTOTIC STABILITY IN DELAYED PERIODIC EQUATIONS BY AVERAGE CONDITIONS
Publication TypeJournal Article
Year of Publication2011
AuthorsLISENA BENEDETTA
JournalDynamic Systems and Applications
Volume20
Start Page129
Pagination10
Date Published2011
ISSN1056-2176
AMS Subject Classification34K20
Abstract

A new criterion is proposed for the global asymptotic stability of the positive periodic solution to the following delay logistic equation u ′ (t) = u(t)[ r(t) − a(t)u(t) − b(t)u(t − τ)] with continuous and periodic coefficients. Such condition, given in average form, incorporates some known pointwise assumptions. The same strategy is applied to study the linear case.
PDFhttps://acadsol.eu/dsa/articles/20/09-DSA-384.pdf
Refereed DesignationRefereed