Abstract
In this paper we study the existence of exponential dichotomies for evolution families. The novelty of this approach consists in the fact that we use the class of sequence spaces that includes almost all the known sequence spaces. It is also important to mention that the discrete evolutionary process has no exponentially growth.
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Communicated by A. Constantin.
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Preda, C., Onofrei, O.R. Discrete Schäffer spaces and exponential dichotomy for evolution families. Monatsh Math 185, 507–523 (2018). https://doi.org/10.1007/s00605-016-0991-0
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DOI: https://doi.org/10.1007/s00605-016-0991-0
Keywords
- Discrete evolutionary process
- Exponential dichotomy
- Admissibility
- Discrete sequence spaces
- Sequence Schäffer space