Monotone dynamical systems

MW Hirsch, H Smith - Handbook of differential equations: ordinary …, 2006 - Elsevier
Publisher Summary This chapter discusses a restricted but useful class of dynamical
systems—, namely, those enjoying a comparison principle with respect to a closed order …

[图书][B] Monotone dynamical systems: an introduction to the theory of competitive and cooperative systems: an introduction to the theory of competitive and cooperative …

HL Smith - 1995 - books.google.com
This book presents comprehensive treatment of a rapidly developing area with many
potential applications: the theory of monotone dynamical systems and the theory of …

Vector-valued Laplace transforms and Cauchy problems

W Arendt - Israel Journal of Mathematics, 1987 - Springer
Linear differential equations in Banach spaces are systematically treated with the help of
Laplace transforms. The central tool is an “integrated version” of Widder's theorem …

Resolvent positive operators

W Arendt - Proceedings of the London Mathematical Society, 1987 - Wiley Online Library
Resolvent positive operators on an ordered Banach space (with generating and normal
positive cone) are by definition linear (possibly unbounded) operators whose resolvent …

[图书][B] Dominated operators

AG Kusraev, AG Kusraev - 2000 - Springer
Chapter 4 Dominated Operators Page 1 Chapter 4 Dominated Operators Dominated operators
are frequent in analysis. The most familiar examples are the Bochner integral, the conditional …

[图书][B] Perturbations of positive semigroups with applications

J Banasiak, L Arlotti - 2006 - Springer
Perturbations of Positive Semigroups with Applications is a self-contained introduction to
semigroup theory with emphasis on positive semigroups on Banach lattices and …

Regularized solutions for abstract Volterra equations

C Lizama - Journal of Mathematical Analysis and Applications, 2000 - Elsevier
We introduce a two-kernel dependent family of strong continuous operators defined in a
Banach space, which allows us to consider in an unified treatment the notions of, among …

[图书][B] Stability of operators and operator semigroups

T Eisner - 2019 - books.google.com
The asymptotic behaviour, in particular" stability" in some sense, is studied systematically for
discrete and for continuous linear dynamical systems on Banach spaces. Of particular …

[图书][B] Non-spectral asymptotic analysis of one-parameter operator semigroups

EY Emel'yanov - 2007 - books.google.com
In this book, non-spectral methods are presented and discussed that have been developed
over the last two decades for the investigation of asymptotic behavior of operator …

The stability of positive semigroups on 𝐿_ {𝑝} spaces

L Weis - Proceedings of the American Mathematical Society, 1995 - ams.org
I i>0 J Page 1 proceedings of the american mathematical society Volume 123, Number 10,
October 1995 THE STABILITY OF POSITIVE SEMIGROUPS ON Lp SPACES LUTZ WEIS (Communicated …