Reviews the classical results on semigroup theory, Hille-Yosida Theorem, semilinear Cauchy problems with dense domain in details
Presents the center manifold theory, Hopf bifurcation theorem, and normal form theory for abstract semilinear Cauchy problems

Dr.  Pierre Magal is a professor in the Institut de Mathématiques de Bordeaux  at the University of Bordeaux, France. His research interests are Differential Equations, Dynamical Systems, and Mathematical Biology.  He studies nonlinear dynamics of abstract semilinear equations, functional differential equations, age-structured models, and parabolic systems. He is also interested in modeling some biological, epidemiological, and medical problems and studying the nonlinear dynamics of these models.

Shigui Ruan is a professor in the Department of Mathematics at the University of Miami, Coral Gables, Florida, USA. His research interests are Differential Equations, Dynamical Systems, and Mathematical Biology.  He studies nonlinear dynamics of some types of differential equations, such as the center manifold theory and Hopf bifurcation in semilinear evolution equations, multiple-parameter bifurcations in delay equations, and traveling waves in nonlocal reaction-diffusion systems. He is also interested in modeling and studying transmission dynamics of some infectious diseases (malaria, Rift Valley Fever, Hepatitis B virus, schistosomiasis, human rabies, SARS, West Nile virus, etc.) and nonlinear population dynamics.