Asymptotic stability of solutions to Volterra-renewal integral equations with space maps

M. Annunziato; H. Brunner; E. Messina

doi:10.1016/j.jmaa.2012.05.080

Asymptotic stability of solutions to Volterra-renewal integral equations with space maps

M. Annunziato^*, H. Brunner, E. Messina

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

10 Citations (Scopus)

Abstract

In this paper we consider linear Volterra-renewal integral equations (VIEs) whose solutions depend on a space variable, via a map transformation. We investigate the asymptotic properties of the solutions, and study the asymptotic stability of a numerical method based on direct quadrature in time and interpolation in space. We show its properties through test examples.

Original language	English
Pages (from-to)	766-775
Number of pages	10
Journal	Journal of Mathematical Analysis and Applications
Volume	395
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2012.05.080
Publication status	Published - 15 Nov 2012

Scopus Subject Areas

Analysis
Applied Mathematics

User-Defined Keywords

Asymptotic behavior
Numerical methods
Renewal equation
Space map
Volterra integral equation

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10.1016/j.jmaa.2012.05.080

Cite this

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abstract = "In this paper we consider linear Volterra-renewal integral equations (VIEs) whose solutions depend on a space variable, via a map transformation. We investigate the asymptotic properties of the solutions, and study the asymptotic stability of a numerical method based on direct quadrature in time and interpolation in space. We show its properties through test examples.",

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author = "M. Annunziato and H. Brunner and E. Messina",

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AU - Annunziato, M.

AU - Brunner, H.

AU - Messina, E.

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Y1 - 2012/11/15

N2 - In this paper we consider linear Volterra-renewal integral equations (VIEs) whose solutions depend on a space variable, via a map transformation. We investigate the asymptotic properties of the solutions, and study the asymptotic stability of a numerical method based on direct quadrature in time and interpolation in space. We show its properties through test examples.

AB - In this paper we consider linear Volterra-renewal integral equations (VIEs) whose solutions depend on a space variable, via a map transformation. We investigate the asymptotic properties of the solutions, and study the asymptotic stability of a numerical method based on direct quadrature in time and interpolation in space. We show its properties through test examples.

KW - Asymptotic behavior

KW - Numerical methods

KW - Renewal equation

KW - Space map

KW - Volterra integral equation

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U2 - 10.1016/j.jmaa.2012.05.080

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JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

Asymptotic stability of solutions to Volterra-renewal integral equations with space maps

Abstract

Scopus Subject Areas

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