ASYMPTOTIC CONSTANCY FOR IMPULSIVE DELAY DIFFERENTIAL EQUATIONS

TitleASYMPTOTIC CONSTANCY FOR IMPULSIVE DELAY DIFFERENTIAL EQUATIONS
Publication TypeJournal Article
Year of Publication2008
AuthorsBEREKETOGLU HÜSEYIN, KARAKOÇ FATMA
JournalDynamic Systems and Applications
Volume17
Start Page71
Pagination13
Date Published2008
ISSN1056-2176
AMS Subject Classification34K06, 34K45
Abstract

Sufficient conditions for the asymptotic constancy of the solutions of impulsive delay differential system ( x 0 (t) = A(t)[x(t − σ) − x(t − τ )] + f(t), t ≥ t0, t 6= ti , ∆x(ti) = Bix(ti) + Di , i = 1, 2, . . . , are obtained. Moreover, as t → ∞, the limits of the solutions of the impulsive delay differential system with Bi = 0 are computed in terms of the initial function and a special matrix solution of the corresponding adjoint system.

PDFhttps://acadsol.eu/dsa/articles/17/DSA-2007-071-084.pdf
Refereed DesignationRefereed