Quasi-Hyperbolicity and Delay Semigroups

Shard Rastogi, Sachi Srivastava
2016 Abstract and Applied Analysis  
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.
doi:10.1155/2016/1984874 fatcat:z2vcqgbnhjbdded7tt55puio2i