Uniform Exponential Stability of Linear Periodic Systems in a Banach Space

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dc.contributor.authorCheban, David N.
dc.date.accessioned2020-02-20T18:21:03Z
dc.date.available2020-02-20T18:21:03Z
dc.date.issued2001-01-03
dc.description.abstractThis article is devoted to the study of linear periodic dynamical systems, possessing the property of uniform exponential stability. It is proved that if the Cauchy operator of these systems possesses a certain compactness property, then the asymptotic stability implies the uniform exponential stability. We also show applications to different classes of linear evolution equations, such as ordinary linear differential equations in the space of Banach, retarded and neutral functional differential equations, some classes of evolution partial differential equations.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCheban, D. N. (2001). Uniform exponential stability of linear periodic systems in a Banach space. <i>Electronic Journal of Differential Equations, 2001</i>(03), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9321
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, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectNon-autonomous linear dynamical systems
dc.subjectGlobal attractors
dc.subjectPeriodic systems
dc.subjectExponential stability
dc.subjectAsymptotically compact systems
dc.subjectEquations on Banach spaces
dc.titleUniform Exponential Stability of Linear Periodic Systems in a Banach Space
dc.typeArticle

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