Abstract
We study the individual behaviour of uniform and nonuniform evolutionary processes. In [2] R. Datko gave a necessary and sufficient condition for the uniform exponential stability of an evolutionary process in Banach space. Our aim is to show that for a single vector x and not global, as Datko did in his paper, the trajectory of an evolutionary process on that vector x is exponentially stable.
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Mureşan, M., Preda, C. & Preda, P. Individual stability and instability for evolutionary processes. Acta Math. Hungar. 153, 16–23 (2017). https://doi.org/10.1007/s10474-017-0754-y
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DOI: https://doi.org/10.1007/s10474-017-0754-y