Stability of uniformly eventually positive
نویسندگان
چکیده
We give a short and elementary proof of the theorem Lutz Weis that growth bound positive $C_0$-semigroup on $L_p(\mu)$ equals spectral its generator. In addition, we generalise result to case uniformly eventually semigroups.
منابع مشابه
Minimal eventually positive realizations of externally positive systems
It is a well-know fact that externally positive linear systems may fail to have a minimal positive realization. In order to investigate these cases, we introduce the notion of minimal eventually positive realization, for which the state update matrix becomes positive after a certain power. Eventually positive realizations capture the idea that in the impulse response of an externally positive s...
متن کاملPotentially eventually positive double star sign patterns
In this work, the potentially eventually positive double star sign patterns are characterized. It is shown that, up to equivalence, an (m + n) × (m + n) double star sign pattern is potentially eventually positive if and only if it is a superpattern of four specific sign patterns. © 2012 Elsevier Ltd. All rights reserved.
متن کاملPermanence and Uniformly Asymptotic Stability of Almost Periodic Positive Solutions for a Dynamic Commensalism Model on Time Scales
In this paper, we study dynamic commensalism model with nonmonotic functional response, density dependent birth rates on time scales and derive sufficient conditions for the permanence. We also establish the existence and uniform asymptotic stability of unique almost periodic positive solution of the model by using Lyapunov functional method.
متن کاملPotentially eventually exponentially positive sign patterns
We introduce the study of potentially eventually exponentially positive (PEEP) sign patterns and establish several results using the connections between these sign patterns and the potentially eventually positive (PEP) sign patterns. It is shown that the problem of characterizing PEEP sign patterns is not equivalent to that of characterizing PEP sign patterns. A characterization of all 2× 2 and...
متن کاملProperties of Eventually Positive Linear Input-Output Systems
In this paper, we consider the so-called eventually positive systems, that is systems with trajectories originating in a positive orthant becoming positive after some finite transient. We extend this notion to the input-output system case. Our extension is performed in such a manner, that some valuable properties of internally positive input-output systems are preserved. For example, the stable...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2022
ISSN: ['2330-1511']
DOI: https://doi.org/10.1090/proc/15926