Téléchargez le livre : Theory and Applications of Abstract Semilinear Cauchy Problems

Theory and Applications of Abstract Semilinear Cauchy Problems

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Éditeur :

Springer


Collection :

Applied Mathematical Sciences

Paru le : 2018-11-21

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Description
Several types of differential equations, such as functional differential equation, age-structured models, transport equations, reaction-diffusion equations, and partial differential equations with delay, can be formulated as abstract Cauchy problems with non-dense domain. This monograph provides a self-contained and comprehensive presentation of the fundamental theory of non-densely defined semilinear Cauchy problems and their applications. Starting from the classical Hille-Yosida theorem, semigroup method, and spectral theory, this monograph introduces the abstract Cauchy problems with non-dense domain, integrated semigroups, the existence of integrated solutions, positivity of solutions, Lipschitz perturbation, differentiability of solutions with respect to the state variable, and time differentiability of solutions. Combining the functional analysis method and bifurcation approach in dynamical systems, then the nonlinear dynamics such as the stability of equilibria, center manifoldtheory, Hopf bifurcation, and normal form theory are established for abstract Cauchy problems with non-dense domain. Finally applications to functional differential equations, age-structured models, and parabolic equations are presented. This monograph will be very valuable for graduate students and researchers in the fields of abstract Cauchy problems, infinite dimensional dynamical systems, and their applications in biological, chemical, medical, and physical problems.
Pages
543 pages
Collection
Applied Mathematical Sciences
Parution
2018-11-21
Marque
Springer
EAN papier
9783030015053
EAN PDF
9783030015060
Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
54
Taille du fichier
7485 Ko
Prix
137,14 €
EAN EPUB
9783030015060
Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
54
Taille du fichier
54282 Ko
Prix
137,14 €

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