Quasi-Hyperbolicity and Delay Semigroups

Autor: Shard Rastogi, Sachi Srivastava
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