Articles liés à Theory and Applications of Abstract Semilinear Cauchy...

Theory and Applications of Abstract Semilinear Cauchy Problems - Couverture rigide

Livre 85 sur 94: Applied Mathematical Sciences

Magal, Pierre; Ruan, Shigui

 
9783030015053: Theory and Applications of Abstract Semilinear Cauchy Problems
Couverture rigide
ISBN 10 : 303001505X ISBN 13 : 9783030015053
Editeur : Springer Nature Switzerland AG, 2018

Synopsis

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

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer Nature Switzerland AG
Date d'édition
2018
Langue
anglais
ISBN 10 
303001505X
ISBN 13 
9783030015053
Reliure
Relié
Nombre de pages
565
Coordonnées du fabricant
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