Theory and Applications of Abstract Semilinear Cauchy Problems, 1st ed. 2018 Applied Mathematical Sciences Series, Vol. 201
Auteurs : Magal Pierre, Ruan Shigui
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.
Date de parution : 12-2018
Ouvrage de 543 p.
15.5x23.5 cm
Mots-clés :
abstract semilinear cauchy problems; densely and non-densely defined cauchy problems; integrated semigroup theory; spectral theory of linear operators; center manifold theory; Hopf bifurcation; normal form theory; functional differential equations; age-structured models; parabolic equations; ordinary differential equations; partial differential equations