Asymptotic Instability of Nonlinear Differential Equations

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dc.contributor.authorAvis, Rafael
dc.contributor.authorNaulin, Raul
dc.date.accessioned2018-08-28T16:28:00Z
dc.date.available2018-08-28T16:28:00Z
dc.date.issued1997-10-15
dc.description.abstractThis article shows that the zero solution to the system x' = A(t)x + ƒ(t, x), ƒ(t, 0) = 0 is unstable. To show instability, we impose conditions on the nonlinear part ƒ(t, x) and on the fundamental matrix of the linear system y' = A(t)y. Our results generalize the instability results obtained by J. M. Bownds, Hatvani-Pintér, and K. L. Chiou.
dc.description.departmentMathematics
dc.formatText
dc.format.extent7 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAvis, R. & Naulin, R. (1997). Asymptotic instability of nonlinear differential equations. <i>Electronic Journal of Differential Equations, 1997</i>(16), pp. 1-7.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7638
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, 1997, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectLiapunov instability
dc.subjecth-Stability
dc.titleAsymptotic Instability of Nonlinear Differential Equations
dc.typeArticle

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