On the robustness of some general concepts of dichotomy and trichotomy for evolution operators in Banach spaces
The paper studies the robustness of a general notion of trichotomy, referred to as “nonuniform (h, k, µ, ν)-trichotomy”. This means that any sufficiently small linear perturbation of a nonuniform (h, k, µ, ν)-trichotomy has the same asymptotic behavior as the original trichotomy. This result will be...
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| További közreműködők: | |
| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2017
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| Sorozat: | Acta scientiarum mathematicarum
83 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-016-785-9 |
| Online Access: | http://acta.bibl.u-szeged.hu/50048 |
| Tartalmi kivonat: | The paper studies the robustness of a general notion of trichotomy, referred to as “nonuniform (h, k, µ, ν)-trichotomy”. This means that any sufficiently small linear perturbation of a nonuniform (h, k, µ, ν)-trichotomy has the same asymptotic behavior as the original trichotomy. This result will be obtained as a consequence of two other important results: the robustness of dichotomy and the equivalence between a trichotomy and two dichotomies. |
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| Terjedelem/Fizikai jellemzők: | 487-509 |
| ISSN: | 0001-6969 |