Dragičević Davor and Jurčević Peček Nevena and Lupa Nicolae: Admissibility and general dichotomies for evolution families. (2020)
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Abstract
For an arbitrary noninvertible evolution family on the half-line and for ρ : [0, ∞) → [0, ∞) in a large class of rate functions, we consider the notion of a ρdichotomy with respect to a family of norms and characterize it in terms of two admissibility conditions. In particular, our results are applicable to exponential as well as polynomial dichotomies with respect to a family of norms. As a nontrivial application of our work, we establish the robustness of general nonuniform dichotomies.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2020 |
| Number: | 58 |
| ISSN: | 1417-3875 |
| DOI: | 10.14232/ejqtde.2020.1.58 |
| Uncontrolled Keywords: | Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 16-19. ; összefoglalás angol nyelven |
| Date Deposited: | 2020. Nov. 30. 14:02 |
| Last Modified: | 2021. Oct. 20. 13:52 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/70942 |
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