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Stability of functional differential equations with impulses

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2007 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 328, pages 830-841 (issn: 0022-247X, Copyright policy )
Authors: Liu, Kaien; Fu, Xilin;

doi: 10.1016/j.jmaa.2006.05.071

Stability of functional differential equations with impulses

Abstract

The authors establish some comparison theorems for functional differential equations (FDE) with impulses using several Lyapunov-Razumikhin. The comparison theorems are employed to develop sufficient conditions for stability theorems for FDE. An example is given to illustrate the usefulness and advantages of the results.

Related Organizations
Keywords

Stability theory of functional-differential equations, Uniform stability, Applied Mathematics, Functional-differential equations with impulses, Lyapunov-Razumikhin functions, Lyapunov–Razumikhin functions, uniform stability, uniform asymptotic stability, FDE with impulses, Uniform asymptotic stability, Analysis

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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!
9
Average
Top 10%
Top 10%
hybrid