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This book describes how to construct the solutions of the delay equation from the semigroup associated to the equivalent abstract Cauchy problem. It considers parabolic problems with delays in the highest order derivatives and discusses abstract delay equations on a Banach space.
This book gives a gentle but up-to-date introduction into the theory of operator semigroups (or linear dynamical systems), which can be used with great success to describe the dynamics of complicated phenomena arising in many applications.
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