Non-uniform stability for bounded semi-groups on Banach spaces
CJK Batty, T Duyckaerts - Journal of Evolution Equations, 2008 - Springer
Let S (t) be a bounded strongly continuous semi-group on a Banach space B and–A be its
generator. We say that S (t) is semi-uniformly stable when S (t)(A+ 1)− 1 tends to 0 in …
generator. We say that S (t) is semi-uniformly stable when S (t)(A+ 1)− 1 tends to 0 in …
[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 …
discrete and for continuous linear dynamical systems on Banach spaces. Of particular …
[HTML][HTML] Non-coercive Lyapunov functions for infinite-dimensional systems
A Mironchenko, F Wirth - Journal of Differential Equations, 2019 - Elsevier
We show that the existence of a non-coercive Lyapunov function is sufficient for uniform
global asymptotic stability (UGAS) of infinite-dimensional systems with external disturbances …
global asymptotic stability (UGAS) of infinite-dimensional systems with external disturbances …
Uniform weak attractivity and criteria for practical global asymptotic stability
A Mironchenko - Systems & Control Letters, 2017 - Elsevier
A subset A of the state space is called uniformly globally weakly attractive if for any
neighborhood S of A and any bounded subset B there is a uniform finite time τ so that any …
neighborhood S of A and any bounded subset B there is a uniform finite time τ so that any …
How to Approach Stability of Bi-Continuous Semigroups?
C Budde - Mathematica Pannonica, 2023 - akjournals.com
HOW TO APPROACH STABILITY OF BI-CONTINUOUS SEMIGROUPS? Page 1 Mathematica
Pannonica New Series DOI: 10.1556/314.2023.00029 HOW TO APPROACH STABILITY OF …
Pannonica New Series DOI: 10.1556/314.2023.00029 HOW TO APPROACH STABILITY OF …
Embedding operators into strongly continuous semigroups
T Eisner - Archiv der Mathematik, 2009 - Springer
Embedding operators into strongly continuous semigroups Page 1 Arch. Math. 92 (2009),
451–460 c© 2009 Birkhäuser Verlag Basel/Switzerland 0003/889X/050451-10, published …
451–460 c© 2009 Birkhäuser Verlag Basel/Switzerland 0003/889X/050451-10, published …
Category theorems for stable semigroups
T Eisner, A Serény - Ergodic Theory and Dynamical Systems, 2009 - cambridge.org
Inspired by the classical category theorems of Halmos and Rohlin for discrete measure-
preserving transformations, we prove analogous results in the abstract setting of unitary and …
preserving transformations, we prove analogous results in the abstract setting of unitary and …
“Large” weak orbits of C0-semigroups
V Müller, Y Tomilov - Acta Scientiarum Mathematicarum, 2013 - Springer
Acta Sci. Math. (Szeged) Page 1 Acta Sci. Math. (Szeged) 79 (2013), 475–505 “Large” weak
orbits of C0 -semigroups Vladimir Müller ∗ and Yuri Tomilov⋆ In honour of B. Szokefalvi-Nagy …
orbits of C0 -semigroups Vladimir Müller ∗ and Yuri Tomilov⋆ In honour of B. Szokefalvi-Nagy …
Category theorems for stable operators on Hilbert spaces
T Eisner, A Serény - arXiv preprint arXiv:0805.1016, 2008 - arxiv.org
We discuss the two closely related, but different concepts of weak and almost weak stability
for the powers of a contraction on a separable Hilbert space. Extending Halmos' and …
for the powers of a contraction on a separable Hilbert space. Extending Halmos' and …
[HTML][HTML] Wiener's lemma along primes and other subsequences
Inspired by subsequential ergodic theorems, we study the validity of Wiener's lemma and the
extremal behavior of a measure μ on the unit circle via the behavior of its Fourier coefficients …
extremal behavior of a measure μ on the unit circle via the behavior of its Fourier coefficients …