Stability on a cone in terms of two measures for differential equations with “maxima”

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creativework.keywordsDifferential equations with “maxima”, Lyapunov functions, Razumikhin method, Stability in two measures
dc.contributor.authorDishliev A.
dc.contributor.authorHristova S.
dc.date.accessioned2024-07-10T14:27:03Z
dc.date.accessioned2024-07-10T14:47:34Z
dc.date.available2024-07-10T14:27:03Z
dc.date.available2024-07-10T14:47:34Z
dc.date.issued2010-01-01
dc.description.abstractStability in terms of two measures for nonlinear differential equations with “maxima” is studied. A special type of stability in terms of two measures is defined. The new type of stability generalizes some of the known in the literature. Sufficient conditions for the defined stability are obtained. Cone-valued continuous Lyapunov functions are applied. Method of Razumikhin as well as comparison method for scalar ordinary differential equations have been employed. The usefulness of the introduced definition and the obtained sufficient conditions is illustrated through an example. © 2010, Duke University Press. All rights reserved.
dc.identifier.doi10.15352/afa/1399900999
dc.identifier.issn2008-8752
dc.identifier.scopusSCOPUS_ID:80053488261en
dc.identifier.urihttps://rlib.uctm.edu/handle/123456789/230
dc.language.isoen
dc.source.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=80053488261&origin=inward
dc.titleStability on a cone in terms of two measures for differential equations with “maxima”
dc.typeArticle
oaire.citation.issue1
oaire.citation.volume1
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