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, vol.193, no.1, pp.204-218, 2006 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 193 Issue: 1
Publication Date: 2006
Doi Number: 10.1016/j.cam.2005.06.004
Journal Name: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.204-218
Keywords: perron condition, stability, adjoint, impulse, distributed delay, STABILITY, SYSTEMS, BOUNDEDNESS, PREDATOR, MODEL, PREY
Middle East Technical University Affiliated: Yes

Abstract

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.