Lyapunov Function and Exponential Trichotomy on Time Scales

Ji Zhang

Discrete Dynamics in Nature and Society, 2011, vol. 2011, 1-22

Abstract:

We study the relation between Lyapunov function and exponential trichotomy for the linear equation ð ‘¥ Δ = ð ´ ( ð ‘¡ ) ð ‘¥ on time scales. Furthermore, as an application of these results, we give the roughness of exponential trichotomy on time scales.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:958381

DOI: 10.1155/2011/958381

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