Shi, Lin Singular limit of mean-square invariant unstable manifolds for SPDEs driven by nonlinear multiplicative white noise in varying phase spaces. (English) Zbl 1504.37068 Proc. Am. Math. Soc. 150, No. 10, 4407-4419 (2022). Reviewer: Anhui Gu (Chongqing) MSC: 37H30 37L55 60H15 35R60 PDFBibTeX XMLCite \textit{L. Shi}, Proc. Am. Math. Soc. 150, No. 10, 4407--4419 (2022; Zbl 1504.37068) Full Text: DOI
Shi, Lin Smooth convergence of random center manifolds for SPDEs in varying phase spaces. (English) Zbl 1443.37040 J. Differ. Equations 269, No. 3, 1963-2011 (2020). MSC: 37H30 35R60 35B25 60H15 PDFBibTeX XMLCite \textit{L. Shi}, J. Differ. Equations 269, No. 3, 1963--2011 (2020; Zbl 1443.37040) Full Text: DOI
Ren, Guoqiang; Liu, Bin Near-optimal control for a singularly perturbed linear stochastic singular system with Markovian jumping parameters. (English) Zbl 1425.93305 Eur. J. Control 50, 88-95 (2019). MSC: 93E20 93C70 93C05 93C15 60H10 PDFBibTeX XMLCite \textit{G. Ren} and \textit{B. Liu}, Eur. J. Control 50, 88--95 (2019; Zbl 1425.93305) Full Text: DOI
Abdulle, Assyr; Pavliotis, G. A.; Vaes, U. Spectral methods for multiscale stochastic differential equations. (English) Zbl 1398.65313 SIAM/ASA J. Uncertain. Quantif. 5, 720-761 (2017). MSC: 65N35 65C30 60H10 60H15 PDFBibTeX XMLCite \textit{A. Abdulle} et al., SIAM/ASA J. Uncertain. Quantif. 5, 720--761 (2017; Zbl 1398.65313) Full Text: DOI arXiv
Lv, Yan; Wang, Wei; Roberts, A. J. Approximation of the random inertial manifold of singularly perturbed stochastic wave equations. (English) Zbl 1303.60058 Stoch. Dyn. 14, No. 2, Article ID 1350018, 21 p. (2014). Reviewer: Isamu Dôku (Saitama) MSC: 60H15 60F99 35R60 PDFBibTeX XMLCite \textit{Y. Lv} et al., Stoch. Dyn. 14, No. 2, Article ID 1350018, 21 p. (2014; Zbl 1303.60058) Full Text: DOI arXiv
Kumar, K. Suresh Singular perturbations in stochastic ergodic control problems. (English) Zbl 1258.93124 SIAM J. Control Optim. 50, No. 6, 3203-3223 (2012). MSC: 93E20 93C70 49L20 PDFBibTeX XMLCite \textit{K. S. Kumar}, SIAM J. Control Optim. 50, No. 6, 3203--3223 (2012; Zbl 1258.93124) Full Text: DOI
Yin, Gang; Zhang, Jifeng Hybrid singular systems of differential equations. (English) Zbl 1185.34011 Sci. China, Ser. F 45, No. 4, 241-258 (2002). MSC: 34A09 34A05 93B11 93C05 93C70 93E03 PDFBibTeX XMLCite \textit{G. Yin} and \textit{J. Zhang}, Sci. China, Ser. F 45, No. 4, 241--258 (2002; Zbl 1185.34011)
Vasilache, T.; Vârsan, C. Singularly perturbed stochastic differential equations with dynamical limits. (English) Zbl 0841.60043 Corduneanu, C. (ed.), Qualitative problems for differential equations and control theory. Dedicated to Aristide Halanay on occasion of his 70th birthday. Singapore: World Scientific. 301-311 (1995). Reviewer: J.H.Kim (Pusan) MSC: 60H10 PDFBibTeX XMLCite \textit{T. Vasilache} and \textit{C. Vârsan}, in: Qualitative problems for differential equations and control theory. Dedicated to Aristide Halanay on occasion of his 70th birthday. Singapore: World Scientific. 301--311 (1995; Zbl 0841.60043)
Gajic, Z.; Lim, M. T. A new filtering method for linear singularly perturbed systems. (English) Zbl 0811.93061 IEEE Trans. Autom. Control 39, No. 9, 1952-1955 (1994). MSC: 93E11 93C05 34E15 PDFBibTeX XMLCite \textit{Z. Gajic} and \textit{M. T. Lim}, IEEE Trans. Autom. Control 39, No. 9, 1952--1955 (1994; Zbl 0811.93061) Full Text: DOI
Ramachandran, K. M. A singularly perturbed stochastic delay system with a small parameter. (English) Zbl 0770.60059 Stochastic Anal. Appl. 11, No. 2, 209-230 (1993). MSC: 60H10 PDFBibTeX XMLCite \textit{K. M. Ramachandran}, Stochastic Anal. Appl. 11, No. 2, 209--230 (1993; Zbl 0770.60059) Full Text: DOI
Le Doan Hong Stochastic perturbations of almost periodic solution for singularly perturbed systems. (English) Zbl 0523.60048 Rev. Roum. Math. Pures Appl. 28, 693-701 (1983). MSC: 60H10 34F05 34C27 PDFBibTeX XMLCite \textit{Le Doan Hong}, Rev. Roum. Math. Pures Appl. 28, 693--701 (1983; Zbl 0523.60048)