Halanay-type theory in the context of evolutionary equations with time-lag

Hdl Handle:
http://hdl.handle.net/10034/346414
Title:
Halanay-type theory in the context of evolutionary equations with time-lag
Authors:
Baker, Christopher T. H.
Abstract:
We consider extensions and modifications of a theory due to Halanay, and the context in which such results may be applied. Our emphasis is on a mathematical framework for Halanay-type analysis of problems with time lag and simulations using discrete versions or numerical formulae. We present selected (linear and nonlinear, discrete and continuous) results of Halanay type that can be used in the study of systems of evolutionary equations with various types of delayed argument, and the relevance and application of our results is illustrated, by reference to delay-differential equations, difference equations, and methods.
Affiliation:
University of Chester
Citation:
Chester : University of Chester, 2009
Publisher:
University of Chester
Publication Date:
2009
URI:
http://hdl.handle.net/10034/346414
Additional Links:
http://www.chester.ac.uk
Type:
Technical Report
Language:
en
Series/Report no.:
Applied Mathematics Group Research Report; 2009 : 1
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorBaker, Christopher T. H.en
dc.date.accessioned2015-03-09T16:21:12Zen
dc.date.available2015-03-09T16:21:12Zen
dc.date.issued2009en
dc.identifier.citationChester : University of Chester, 2009en
dc.identifier.urihttp://hdl.handle.net/10034/346414en
dc.description.abstractWe consider extensions and modifications of a theory due to Halanay, and the context in which such results may be applied. Our emphasis is on a mathematical framework for Halanay-type analysis of problems with time lag and simulations using discrete versions or numerical formulae. We present selected (linear and nonlinear, discrete and continuous) results of Halanay type that can be used in the study of systems of evolutionary equations with various types of delayed argument, and the relevance and application of our results is illustrated, by reference to delay-differential equations, difference equations, and methods.en
dc.language.isoenen
dc.publisherUniversity of Chesteren
dc.relation.ispartofseriesApplied Mathematics Group Research Reporten
dc.relation.ispartofseries2009 : 1en
dc.relation.urlhttp://www.chester.ac.uken
dc.subjectHalanay’s lemmaen
dc.subjectDifference/delay-differential inequalitiesen
dc.subjectDeterministic and delay equationsen
dc.subjectApplicationsen
dc.titleHalanay-type theory in the context of evolutionary equations with time-lagen
dc.typeTechnical Reporten
dc.contributor.departmentUniversity of Chesteren
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