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On the Hyers–Ulam stability of the linear differential equation

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2011 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 381, pages 530-537 (issn: 0022-247X, Copyright policy )
Authors: Dorian Popa; Ioan Raşa;

doi: 10.1016/j.jmaa.2011.02.051

On the Hyers–Ulam stability of the linear differential equation

Abstract

AbstractWe obtain some results on generalized Hyers–Ulam stability of the linear differential equation in a Banach space. As a consequence we improve some known estimates of the difference between the perturbed and the exact solutions.

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Keywords

Hyers–Ulam stability, Applied Mathematics, Analysis, Differential equation in Banach spaces

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citations
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!
124
Top 1%
Top 1%
Top 10%
hybrid
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