Center Manifolds for Semilinear Equations with Non-dense Domain and Applications to Hopf Bifurcation in Age Structured Models Paperback / softback
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
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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.
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Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:71 pages
- Publisher:American Mathematical Society
- Publication Date:30/11/2009
- Category:
- ISBN:9780821846537
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Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:71 pages
- Publisher:American Mathematical Society
- Publication Date:30/11/2009
- Category:
- ISBN:9780821846537