中性型随机FDEs分布Weyl几乎自同构解的存在性与稳定性

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2024-12-24 DOI:10.1016/j.chaos.2024.115890

Xiaohui Wang, Xianlong Fu

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引用次数: 0

摘要

研究了一类中立型随机泛函微分方程在分布上的第p个Weyl概自同构解的存在性和稳定性。首先利用Banach不动点定理证明了该方程具有唯一的lp有界一致lp连续解，然后进一步证明了该解在分布上是p阶Weyl几乎自同构的。在一定条件下，讨论了所考虑的方程在分布上的第p个Weyl几乎自同构解的全局指数稳定性和几乎肯定指数稳定性。最后，给出了一个算例来说明所得结果。

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Existence and stability of [formula omitted]th Weyl almost automorphic solutions in distribution for neutral stochastic FDEs

This paper considers the existence and stability of pth Weyl almost automorphic solutions in distribution for a class of neutral stochastic functional differential equations. It is first proved by Banach fixed point theorem that the equation has a unique Lp-bounded and uniformly Lp-continuous solution, and then, this solution is further checked to be pth Weyl almost automorphic in distribution. The global exponential stability and almost sure exponential stability of pth Weyl almost automorphic solutions in distribution are also discussed for the considered equation under some conditions. In the end, an example is given to illustrate the obtained results.

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.