A version of a theorem of A. M. Lyapunov for the stability and instability of evolution families in Banach spaces
In the present paper we give some characterizations for the stability and instability of the evolution families by using the Lyapunov function, in Banach spaces. These results are a generalization of those obtained by N.U. Ahmed in [1] for the case of Co-semigroups.
Elmentve itt :
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| További közreműködők: | |
| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2014
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| Sorozat: | Acta scientiarum mathematicarum
80 No. 3-4 |
| Kulcsszavak: | Matematika, Banach-tér |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-012-566-4 |
| Online Access: | http://acta.bibl.u-szeged.hu/34845 |
| Tartalmi kivonat: | In the present paper we give some characterizations for the stability and instability of the evolution families by using the Lyapunov function, in Banach spaces. These results are a generalization of those obtained by N.U. Ahmed in [1] for the case of Co-semigroups. |
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| Terjedelem/Fizikai jellemzők: | 539-552 |
| ISSN: | 0001-6969 |