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On the decay rate of solutions of non-autonomous differential systems

 

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Opened Access On the decay rate of solutions of non-autonomous differential systems
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Author: Caraballo Garrido, Tomás
Date: 2001
Published in: Electronic Journal of Differential Equations, 5, 1-17
Document type: Article
Abstract: Some results on the asymptotic behaviour of solutions of diff erential 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 di fferential systems. The theory is illustrated with several examples.
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URI: http://hdl.handle.net/11441/16543

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