ENGLISH

Center Manifolds for Semilinear Equations With Non-dense Domain and Applications to Hopf Bifurcation in Age Structured Models

By Pierre , Ruan , Shigui; Magal

Book information

Publisher
American Mathematical Society
Year
2009
ISBN
978-0-8218-4653-7, 0821846531
Language
english
Format
PDF
Filesize
763 kB (780855 bytes)
Series
Memoirs of the American Mathematical Society no. 951
Pages
71\84
Time added
2016-01-18 05:00:00
Evolution equations. Cauchy problParabolic. Cauchy-Anfangswertprob

Description

Several types of differential equations, such as delay differential equations, age-structure models in population dynamics, evolution equations with boundary conditions, can be written as semilinear Cauchy problems with an operator which is not densely defined in its domain. The goal of this paper is to develop a center manifold theory for semilinear Cauchy problems with non-dense domain. Using Liapunov-Perron method and following the techniques of Vanderbauwhede et al. in treating infinite dimensional systems, the authors study the existence and smoothness of center manifolds for semilinear Cauchy problems with non-dense domain. As an application, they use the center manifold theorem to establish a Hopf bifurcation theorem for age structured models

Similar books