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Quasi-Hyperbolicity and Delay Semigroups
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