On the exact rates of decay of solutions of positive linear Volterra equations with delays

Bui The Anh

doi:10.1007/s11117-009-0014-7

On the exact rates of decay of solutions of positive linear Volterra equations with delays

Research output: Contribution to journal › Article

Abstract

This paper considers the asymptotic behaviour of a finite-dimensional positive linear Volterra equation with delays. The main results give conditions which ensure that the exact rate of decay of the solution can be determined.

Original language	English
Pages (from-to)	181-189
Number of pages	9
Journal	Positivity
Volume	14
Issue number	1
DOIs	https://doi.org/10.1007/s11117-009-0014-7
Publication status	Published - Mar 2010
Externally published	Yes

Keywords

Asymptotic behaviour
Characteristic equations
Perron-Frobenius Theorem
Volterra integro-differential equations

Access to Document

10.1007/s11117-009-0014-7

Link to publication in Scopus

Fingerprint Dive into the research topics of 'On the exact rates of decay of solutions of positive linear Volterra equations with delays'. Together they form a unique fingerprint.

Cite this

@article{2f16d9451dd34a0c800f180aa2420f17,

title = "On the exact rates of decay of solutions of positive linear Volterra equations with delays",

abstract = "This paper considers the asymptotic behaviour of a finite-dimensional positive linear Volterra equation with delays. The main results give conditions which ensure that the exact rate of decay of the solution can be determined.",

keywords = "Asymptotic behaviour, Characteristic equations, Perron-Frobenius Theorem, Volterra integro-differential equations",

author = "Anh, {Bui The}",

year = "2010",

month = "3",

doi = "10.1007/s11117-009-0014-7",

language = "English",

volume = "14",

pages = "181--189",

journal = "Positivity",

issn = "1385-1292",

publisher = "Birkhauser Verlag Basel",

number = "1",

}

TY - JOUR

T1 - On the exact rates of decay of solutions of positive linear Volterra equations with delays

AU - Anh, Bui The

PY - 2010/3

Y1 - 2010/3

N2 - This paper considers the asymptotic behaviour of a finite-dimensional positive linear Volterra equation with delays. The main results give conditions which ensure that the exact rate of decay of the solution can be determined.

AB - This paper considers the asymptotic behaviour of a finite-dimensional positive linear Volterra equation with delays. The main results give conditions which ensure that the exact rate of decay of the solution can be determined.

KW - Asymptotic behaviour

KW - Characteristic equations

KW - Perron-Frobenius Theorem

KW - Volterra integro-differential equations

UR - http://www.scopus.com/inward/record.url?scp=77950459141&partnerID=8YFLogxK

U2 - 10.1007/s11117-009-0014-7

DO - 10.1007/s11117-009-0014-7

M3 - Article

VL - 14

SP - 181

EP - 189

JO - Positivity

JF - Positivity

SN - 1385-1292

IS - 1

ER -