Overview
- Allows readers and graduate students with no background to start with the basic concepts
- The application-oriented readers will see how the abstract results apply to biological and physical problems
- Learn the fundamental theories on abstract equations
Part of the book series: Applied Mathematical Sciences (AMS, volume 201)
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Table of contents (9 chapters)
Keywords
- 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
About this book
Reviews
“This book will be of great interest for researchers studying abstract ODEs and their applications, especially for those with interest in nonlinear population dynamics, particularly in age-structured models.” (Paul Georgescu, Mathematical Reviews, August, 2019)
Authors and Affiliations
About the authors
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.
Bibliographic Information
Book Title: Theory and Applications of Abstract Semilinear Cauchy Problems
Authors: Pierre Magal, Shigui Ruan
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-030-01506-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-030-01505-3Published: 03 December 2018
eBook ISBN: 978-3-030-01506-0Published: 21 November 2018
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 1
Number of Pages: XXII, 543
Number of Illustrations: 7 b/w illustrations, 10 illustrations in colour
Topics: Ordinary Differential Equations, Partial Differential Equations