Minimal Conditions for Implications of Gronwall–Bellman Type
dc.contributor.author
Herdegen, Martin
dc.contributor.author
Herrmann, Sebastian
dc.date.accessioned
2020-07-13T11:04:00Z
dc.date.available
2017-06-12T09:44:41Z
dc.date.available
2020-05-15T12:38:52Z
dc.date.available
2020-07-13T11:04:00Z
dc.date.issued
2016-05-30
dc.identifier.uri
http://hdl.handle.net/20.500.11850/118797
dc.description.abstract
Gronwall-Bellman type inequalities entail the following implication: if a sufficiently integrable function satisfies a certain homogeneous linear integral inequality, then it is nonpositive. We present a minimal (necessary and sufficient) condition on the Borel measure underlying the integrals for this implication to hold. The condition is also a necessary prerequisite for any nontrivial bound on solutions to inhomogeneous linear integral inequalities of Gronwall-Bellman type.
en_US
dc.language.iso
en
en_US
dc.publisher
Cornell University
dc.subject
Gronwall–Bellman inequalities
en_US
dc.subject
Integral inequalities
en_US
dc.subject
Semi-finite measures
en_US
dc.title
Minimal Conditions for Implications of Gronwall–Bellman Type
en_US
dc.type
Working Paper
ethz.journal.title
arXiv
ethz.pages.start
1605.09298
en_US
ethz.size
11 p.
en_US
ethz.grant
Financial markets with small frictions: from individual investors towards equilibria
en_US
ethz.identifier.arxiv
1605.09298
ethz.publication.place
Ithaca, NY
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03658 - Schweizer, Martin / Schweizer, Martin
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03844 - Soner, Mete (emeritus) / Soner, Mete (emeritus)
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03658 - Schweizer, Martin / Schweizer, Martin
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03844 - Soner, Mete (emeritus) / Soner, Mete (emeritus)
ethz.grant.agreementno
150101
ethz.grant.fundername
SNF
ethz.grant.funderDoi
10.13039/501100001711
ethz.grant.program
Projektförderung in Geistes- und Sozialwissenschaften (Abteilung I)
ethz.relation.isPreviousVersionOf
handle/20.500.11850/126598
ethz.date.deposited
2017-06-12T09:45:21Z
ethz.source
ECIT
ethz.identifier.importid
imp59365493dfffe96496
ethz.ecitpid
pub:180763
ethz.eth
yes
en_US
ethz.availability
Metadata only
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ethz.rosetta.installDate
2017-07-12T11:51:02Z
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2024-02-02T11:25:25Z
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true
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