Can I read Theory and Applications of Abstract Semilinear Cauchy Problems on EtoBox?

Theory and Applications of Abstract Semilinear Cauchy Problems by Pierre Magal, Shigui Ruan is a mathematics available to read on EtoBox.

What is Theory and Applications of Abstract Semilinear Cauchy Problems about?

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 manifold theory, 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, a

Who reads Theory and Applications of Abstract Semilinear Cauchy Problems?

Author

Pierre Magal, Shigui Ruan

Publisher

Springer International Publishing : Imprint: Springer

Published

2018

Language

EN

ISBN

9783030015060

Category

mathematics

Subjects

Mathematics, Stem

Rating

5 / 5 (1 ratings)

Updated

2026-03-14