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Nonlinear Analysis
Article . 1994 . Peer-reviewed
License: Elsevier 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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Boundedness in functional differential equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1994 English Publisher:Elsevier BVJournal:Nonlinear Analysis: Theory, Methods & Applications, volume 22, pages 1,511-1,527 (issn: 0362-546X, Copyright policy )
Authors: Zhang, Bo;

doi: 10.1016/0362-546x(94)90186-4

Boundedness in functional differential equations

Abstract

The uniform boundedness and the uniform ultimate boundedness of solutions \(x(t)\) to the system of functional differential equations \(x'(t) = F(t,x_ t)\), \(x \in R^ n\) are considered. Both cases of systems with finite and infinite delay are developed. New Lyapunov-type theorems which generalized previous results of Yoshizawa, Burton/Zhang, Hale and Hering are given.

Related Organizations
Keywords

Ultimate boundedness, functional differential equations, Boundedness, Lyapunov-type theorems, Liapunov functionals, system of functional differential equations, Functional-differential equations (including equations with delayed, advanced or state-dependent argument), uniform ultimate boundedness

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    		 8
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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!
8
Average
Top 10%
Top 10%
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