Perron's theorem for linear impulsive differential equations with distributed delay

Akhmet, MARAT; Alzabut, J.; Zafer, AĞACIK

doi:10.1016/j.cam.2005.06.004

Perron's theorem for linear impulsive differential equations with distributed delay

Akhmet M. U., Alzabut J., Zafer A.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.193, sa.1, ss.204-218, 2006 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 193 Sayı: 1
Basım Tarihi: 2006
Doi Numarası: 10.1016/j.cam.2005.06.004
Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.204-218
Anahtar Kelimeler: perron condition, stability, adjoint, impulse, distributed delay, STABILITY, SYSTEMS, BOUNDEDNESS, PREDATOR, MODEL, PREY
Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this paper it is shown that under a Perron condition trivial solution of linear impulsive differential equation with distributed delay is uniformly asymptotically stable. (c) 2005 Elsevier B.V. All rights reserved.