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SIAM Journal on Mathematical Analysis
Article . 1974 . Peer-reviewed
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https://dx.doi.org/10.1137/050...
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A Volterra Equation in Hilbert Space

A Volterra equation in Hilbert space
descriptionPublicationkeyboard_double_arrow_right Article 01 May 1974 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 5, pages 412-416 (issn: 0036-1410, eissn: 1095-7154, Copyright policy )
Authors: Hannsgen, Kenneth B.;

doi: 10.1137/0505043

A Volterra Equation in Hilbert Space

Abstract

This paper concerns the asymptotic behavior of the solution of a Volterra equation in Hilbert space. The proof uses spectral decomposition and a result of independent interest on the global dependence on a parameter of the solution of a scalar integro-differential equation.

Keywords

Integro-ordinary differential equations, Abstract integral equations, integral equations in abstract spaces, Asymptotics of solutions to integral equations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Top 10%
Average
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