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On the stability of dynamical systems on a time scale - MaRDI portal

On the stability of dynamical systems on a time scale (Q2518800)

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On the stability of dynamical systems on a time scale
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    On the stability of dynamical systems on a time scale (English)
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    19 January 2009
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    The first part of this article contains a short introduction and survey of time scales calculus. Then the author presents three theorems that mimic Lyapunov's direct method for the time scales setting. The proofs are compact. In a final remark the results are applied to an example of an impulsive dynamical system, thus showing the motivation for the article.
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    Lyapunov stability
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    time scale
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