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Individual stability and instability for evolutionary processes

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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… Click to show full 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.

Keywords: evolutionary processes; instability evolutionary; stability instability; stability; individual stability

Journal Title: Acta Mathematica Hungarica
Year Published: 2017

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