On the Decay Rate of Solutions of Non-Autonomous Differential Systems

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dc.contributor.authorCaraballo, Tomas
dc.date.accessioned2020-02-20T17:41:52Z
dc.date.available2020-02-20T17:41:52Z
dc.date.issued2001-01-03
dc.description.abstractSome results on the asymptotic behaviour of solutions of differential equations concerning general decay rate are proved. We prove general criteria on the exponential, polynomial, and more general decay properties of solutions by using suitable Lyapunov's functions. We also present a detailed analysis of the perturbed linear and nonlinear differential systems. The theory is illustrated with several examples.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCaraballo, T. (2001). On the decay rate of solutions of non-autonomous differential systems. <i>Electronic Journal of Differential Equations, 2001</i>(05), pp. 1-17.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9319
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.subjectAsymptotic behaviour
dc.subjectExponential and polynomial stability
dc.subjectRate of decay
dc.titleOn the Decay Rate of Solutions of Non-Autonomous Differential Systemsen_US
dc.typeArticle

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