Title | ASYMPTOTIC CONSTANCY FOR IMPULSIVE DELAY DIFFERENTIAL EQUATIONS |
Publication Type | Journal Article |
Year of Publication | 2008 |
Authors | BEREKETOGLU HÜSEYIN, KARAKOÇ FATMA |
Journal | Dynamic Systems and Applications |
Volume | 17 |
Start Page | 71 |
Pagination | 13 |
Date Published | 2008 |
ISSN | 1056-2176 |
AMS Subject Classification | 34K06, 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. |
https://acadsol.eu/dsa/articles/17/DSA-2007-071-084.pdf | |
Refereed Designation | Refereed |