非自治随机动力系统的可容许性与广义非一致二分类

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-03-03 DOI:10.1016/j.jmaa.2025.129441

Davor Dragičević , César M. Silva , Helder Vilarinho

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引用次数: 0

摘要

本文引入了作用于任意Banach空间上的非自治随机线性动力系统的广义二分类，并利用适当的可容许性得到了它们的完备刻划。这些广义二分类与满足温和条件的增长率有关，它们包括标准指数行为作为一种非常特殊的情况。作为一个非平凡的应用，我们建立了这种二分类在小（线性）扰动下的鲁棒性。

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Admissibility and generalized nonuniform dichotomies for nonautonomous random dynamical systems

In this paper, we introduce generalized dichotomies for nonautonomous random linear dynamical systems acting on arbitrary Banach spaces, and obtain their complete characterization in terms of an appropriate admissibility property. These generalized dichotomies are associated to growth rates satisfying mild conditions and they include the standard exponential behavior as a very particular case. As a nontrivial application, we establish the robustness property of such dichotomies under small (linear) perturbations.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.