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Journal of Applied Nonlinear Dynamics 14(4) (2025) 941--958 | DOI:10.5890/JAND.2025.12.013

Hongyu Ma

School of Mathematics, Southwest Jiaotong University Chengdu, Sichuan, 611756, China

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Abstract

In this paper, we study a class of stochastic evolutionary equations driven by colored noise with the time delay in varying phase spaces. We first prove a property of the nonlinear operator $J^\varepsilon_\rho$ and a convergence Lemma. And then, we derive the Lipschitz convergence of center manifolds in varying phase spaces.

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