Approximations of center manifolds for delay stochastic differential equations with additive noise

IF 3.2 1区数学 Q1 MATHEMATICS

Advances in Nonlinear Analysis Pub Date : 2023-01-01 DOI:10.1515/anona-2022-0301

Longyu Wu, Jiaxin Gong, Juan Yang, J. Shu

引用次数: 0

Abstract

Abstract This article deals with approximations of center manifolds for delay stochastic differential equations with additive noise. We first prove the existence and smoothness of random center manifolds for these approximation equations. Then we show that the C k {C}^{k} invariant center manifolds of the system with colored noise approximate that of the original system.

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具有加性噪声的时滞随机微分方程中心流形的逼近

研究了具有加性噪声的时滞随机微分方程中心流形的逼近问题。首先证明了这些近似方程的随机中心流形的存在性和光滑性。然后我们证明了带有彩色噪声的系统的ck {C}^{k}不变中心流形近似于原系统的中心流形。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Nonlinear Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

6.00

自引率

9.50%

发文量

审稿时长

30 weeks

期刊介绍： Advances in Nonlinear Analysis (ANONA) aims to publish selected research contributions devoted to nonlinear problems coming from different areas, with particular reference to those introducing new techniques capable of solving a wide range of problems. The Journal focuses on papers that address significant problems in pure and applied nonlinear analysis. ANONA seeks to present the most significant advances in this field to a wide readership, including researchers and graduate students in mathematics, physics, and engineering.