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Acta Mathematica Hungarica
Article . 2001 . Peer-reviewed
License: Springer Nature TDM
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Uniform Boundedness by Averaging

Uniform boundedness by averaging
descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2001 English Publisher:Springer Science and Business Media LLCJournal:Acta Mathematica Hungarica, volume 92, pages 263-283 (issn: 0236-5294, eissn: 1588-2632, Copyright policy )
Authors: Burton, T. A.; Zhang, B.;

doi: 10.1023/a:1013881809859

Uniform Boundedness by Averaging

Abstract

The authors study a system of functional-differential equations with infinite delay. By using Lyapunov functionals, conditions are given for uniform boundedness and uniform ultimate boundedness. The results are based on the method of finding a bound on the averaged values of the unknown solutions and the application of Jensen's inequality. A comparison with earlier results and nice examples make this paper very interesting.

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Keywords

Integro-ordinary differential equations, Growth, boundedness, comparison of solutions to functional-differential equations, boundedness by averaging, Boundedness by averaging, Functional differential equations, Liapunov functionals, Lyapunov functionals, 510, functional-differential equations

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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!
0
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