Theory and Applications of Abstract Semilinear Cauchy Problems

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 s...

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Bibliographic Details
Main Author: Magal, Pierre (Author)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing, 2018.
Edition:1st ed. 2018.
Series:Applied Mathematical Sciences, 201
Subjects:
Differential equations.
Partial differential equations.
ISBN:9783030015060
ISSN:0066-5452 ;
Online Access: Get full text
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Table of Contents:
  • Chapter 1- Introduction
  • Chapter 2- Semigroups and Hille-Yosida Theorem
  • Chapter 3- Integrated Semigroups and Cauchy Problems with Non-dense Domain
  • Chapter 4- Spectral Theory for Linear Operators
  • Chapter 5- Semilinear Cauchy Problems with Non-dense Domain
  • Chapter 6- Center Manifolds, Hopf Bifurcation and Normal Forms
  • Chapter 7- Functional Differential Equations
  • Chapter 8- Age-structured Models
  • Chapter 9- Parabolic Equations
  • References
  • Index.

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