Quasi-Hyperbolicity and Delay Semigroups
Autor: | Shard Rastogi, Sachi Srivastava |
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Jazyk: | angličtina |
Rok vydání: | 2016 |
Předmět: | |
Zdroj: | Abstract and Applied Analysis, Vol 2016 (2016) |
Druh dokumentu: | article |
ISSN: | 1085-3375 1687-0409 |
DOI: | 10.1155/2016/1984874 |
Popis: | We study quasi-hyperbolicity of the delay semigroup associated with the equation u′(t)=Bu(t)+Φut, where ut is the history function and (B,D(B)) is the generator of a quasi-hyperbolic semigroup. We give conditions under which the associated solution semigroup of this equation generates a quasi-hyperbolic semigroup. |
Databáze: | Directory of Open Access Journals |
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