Reviews the classical results on semigroup theory, Hille-Yosida Theorem, semilinear Cauchy problems with dense domain in details
Introduces the integrated semigroup theory in order to study semilinear Cauchy problems when the linear operator is nondensely defined and is not Hille-Yosida
Discusses the spectral throry for linear operators, including the spectral decomposition of the state space
Presents the center manifold theory, Hopf bifurcation theorem, and normal form theory for abstract semilinear Cauchy problems
Applies the abstract theories to functional differential equations, age-structured models, and parabolic equations arising in population dynamics and other applied subjects
