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Zbl 1108.47041
Preda, Petre; Pogan, Alin; Preda, Ciprian
Schäffer spaces and exponential dichotomy for evolutionary processes. (English)
[J] J. Differ. Equations 230, No. 1, 378-391 (2006). ISSN 0022-0396

This paper contributes to the problem of admissiblity for evolutionary processes. Admissibility characterizes the existence of an exponential dichotomy. In this particular approach, the authors use so-called translation invariant Schaeffer spaces.
[Stefan Siegmund (Frankfurt)]
MSC 2000:
*47D06 One-parameter semigroups and linear evolution equations
34D05 Asymptotic stability of ODE
93D20 Asymptotic stability of control systems

Keywords: evolutionary processes; Schäffer spaces; exponential dichotomy; admissibility

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