Uniform Exponential Stability of Linear Almost Periodic Systems in Banach Spaces

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dc.contributor.authorCheban, David N.
dc.date.accessioned2019-12-11T19:22:20Z
dc.date.available2019-12-11T19:22:20Z
dc.date.issued2000-04-17
dc.description.abstractThis article is devoted to the study linear non-autonomous dynamical systems possessing the property of uniform exponential stability. We prove that if the Cauchy operator of these systems possesses a certain compactness property, then the uniform asymptotic stability implies the uniform exponential stability. For recurrent (almost periodic) systems this result is precised. We also show application for different classes of linear evolution equations: ordinary linear differential equations in a Banach space, retarded and neutral functional differential equations, and some classes of evolution partial differential equations.
dc.description.departmentMathematics
dc.formatText
dc.format.extent18 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCheban, D. N. (2000). Uniform exponential stability of linear almost periodic systems in Banach spaces. <i>Electronic Journal of Differential Equations, 2000</i>(29), pp. 1-18.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9057
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, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectNon-autonomous linear dynamical systems
dc.subjectGlobal attractors
dc.subjectAlmost periodic system
dc.subjectExponential stability
dc.subjectAsymptotically compact systems
dc.titleUniform Exponential Stability of Linear Almost Periodic Systems in Banach Spaces
dc.typeArticle

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