Liapunov exponents for higher-order linear differential equations whose characteristic equations have variable real roots.
Gil', Michael I. (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “Exponential stability of nonlinear time-varying differential equations and applications.”
Liapunov exponents for higher-order linear differential equations whose characteristic equations have variable real roots.
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Stability of nonautonomous systems by Liapunov's direct method
Dirk Aeyels (1995)
Banach Center Publications
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This paper discusses asymptotic stability for nonautonomous systems by means of the direct method of Liapunov. The existence of a positive time-invariant Liapunov function with negative semi-definite derivative is assumed. The paper focuses on the extra conditions needed in order to guarantee asymptotic stability. The proposed criterion is compared with the standard results available for autonomous systems. A specialization and extension is obtained for a class of linear nonautonomous...