|
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
|
Buy Now
Theory and Applications of Abstract Semilinear Cauchy Problems (Hardcover, 1st ed. 2018)
Loot Price: R3,617
Discovery Miles 36 170
|
|
|
Theory and Applications of Abstract Semilinear Cauchy Problems (Hardcover, 1st ed. 2018)
Series: Applied Mathematical Sciences, 201
Expected to ship within 10 - 15 working days
|
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, 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.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
(1)
