Existence of Unstable Manifolds for a Certain Class of Delay Differential Equations

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dc.contributor.authorKrishnan, Hari P.
dc.date.accessioned2020-07-31T21:13:08Z
dc.date.available2020-07-31T21:13:08Z
dc.date.issued2002-04-01
dc.description.abstractWe prove a theorem for unstable manifolds in a differential equation with a state-dependent delay. Although the equation cannot be formally linearized, we find an associated linear delay equation whose dynamics are qualitatively similar near the unstable manifold. Our proof relies upon estimates of the derivative of a trajectory on the unstable manifold near equilibrium.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKrishnan, H. P. (2002). Existence of unstable manifolds for a certain class of delay differential equations. <i>Electronic Journal of Differential Equations, 2002</i>(32), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12280
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectInvariant manifolds
dc.subjectFunctional differential equations
dc.titleExistence of Unstable Manifolds for a Certain Class of Delay Differential Equations
dc.typeArticle

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