Abstract
In this paper we consider individual stability for linear skew-product semiflows over semiflows by using the standard Perron’s method. To our knowledge, in the study of this problem, the constant from the boundedness theorem has been so far always assumed to be independent of the variable from the metric space. The novelty of our approach consists in being able to choose this constant for each value of the metric space variable in a separate manner.
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Petre Preda—Deceased.
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Preda, C., Preda, P. & Onofrei, O.R. Individual exponential stability for linear skew-products semiflows over a semiflow. Period Math Hung 79, 168–176 (2019). https://doi.org/10.1007/s10998-019-00289-y
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DOI: https://doi.org/10.1007/s10998-019-00289-y
Keywords
- Semiflows
- Linear skew-product semiflows
- Cocycle
- Exponential growth
- Individual exponential stability
- O. Perron’s theorem