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Abstract and Applied Analysis
Article . 2007 . Peer-reviewed
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Abstract and Applied Analysis
Article
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Abstract and Applied Analysis
Article . 2007
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Abstract and Applied Analysis
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https://dx.doi.org/10.1155/200...
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Claim

Legendre's Differential Equation and Its Hyers-Ulam Stability

Legendre's differential equation and its Hyers-Ulam stability
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2007 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,007, pages 1-14 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: Soon-Mo Jung;

doi: 10.1155/2007/56419

Legendre's Differential Equation and Its Hyers-Ulam Stability

Abstract

We solve the nonhomogeneous Legendre's differential equation and apply this result to obtaining a partial solution to the Hyers-Ulam stability problem for the Legendre's equation.

Related Organizations
Keywords

Linear ordinary differential equations and systems, QA1-939, Differential inequalities involving functions of a single real variable, Mathematics, Stability theory for ordinary differential equations

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
23
Top 10%
Top 10%
Top 10%
gold