[图书][B] Positive one-parameter semigroups on ordered Banach spaces
CJK Batty, DW Robinson - 1984 - Springer
In this review we describe the basic structure of positive continuous one-parameter
semigroups acting on ordered Banach spaces. The review is in two parts. First we discuss …
semigroups acting on ordered Banach spaces. The review is in two parts. First we discuss …
[图书][B] Applications of centre manifold theory
J Carr - 2012 - books.google.com
These notes are based on a series of lectures given in the Lefschetz Center for Dynamical
Systems in the Division of Applied Mathematics at Brown University during the academic …
Systems in the Division of Applied Mathematics at Brown University during the academic …
[图书][B] Evolutionary integral equations and applications
J Prüss - 2012 - books.google.com
This book deals with evolutionary systems whose equation of state can be formulated as a
linear Volterra equation in a Banach space. The main feature of the kernels involved is that …
linear Volterra equation in a Banach space. The main feature of the kernels involved is that …
On the spectrum of 𝐶₀-semigroups
J Prüss - Transactions of the American Mathematical Society, 1984 - ams.org
In this paper we give characterizations of the spectrum of a ${C_0} $-semigroup ${e^{At}} $
in terms of certain solution properties of the differential equation $(\ast)\; u'= Au+ f $ and, in …
in terms of certain solution properties of the differential equation $(\ast)\; u'= Au+ f $ and, in …
Semi-uniform stability of operator semigroups and energy decay of damped waves
Only in the last 15 years or so has the notion of semi-uniform stability, which lies between
exponential stability and strong stability, become part of the asymptotic theory of C 0 …
exponential stability and strong stability, become part of the asymptotic theory of C 0 …
[图书][B] Infinite dimensional linear systems theory
RF Curtain, AJ Pritchard - 1978 - Springer
Suppose ze Z is the state at time zero of a dynamical system defined on a Banach space Z,
and the state at time t is z (t). If we assume that the dynamics which govern the evolution …
and the state at time t is z (t). If we assume that the dynamics which govern the evolution …
[图书][B] Mathematical control theory
J Zabczyk - 2020 - Springer
Control theory originated around 150 years ago when the performance of mechanical
governors started to be analysed in a mathematical way. Such governors act in a stable way …
governors started to be analysed in a mathematical way. Such governors act in a stable way …
[图书][B] Evolution semigroups in dynamical systems and differential equations
C Chicone, Y Latushkin - 1999 - books.google.com
The main theme of the book is the spectral theory for evolution operators and evolution
semigroups, a subject tracing its origins to the classical results of J. Mather on hyperbolic …
semigroups, a subject tracing its origins to the classical results of J. Mather on hyperbolic …
[图书][B] Linear operators and their spectra
EB Davies - 2007 - books.google.com
This wide ranging but self-contained account of the spectral theory of non-self-adjoint linear
operators is ideal for postgraduate students and researchers, and contains many illustrative …
operators is ideal for postgraduate students and researchers, and contains many illustrative …
[图书][B] Stability and stabilization of infinite dimensional systems with applications
The time evol11tion of many physical phenomena in nat11re can be de scribed by partial
differential eq11ations. To analyze and control the dynamic behavior of s11ch systems …
differential eq11ations. To analyze and control the dynamic behavior of s11ch systems …