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

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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

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10.1007/s11117-009-0014-7

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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",

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

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KW - Asymptotic behaviour

KW - Characteristic equations

KW - Perron-Frobenius Theorem

KW - Volterra integro-differential equations

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JO - Positivity

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

Abstract

Keywords

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