LU K N, SCHMALFUβ B. Invariant Manifolds for Stochastic Wave Equations [J]. Journal of Differential Equations, 2007, 236(2): 460-492.
LIU Z X. Stochastic Inertial Manifolds for Damped Wave Equations [J]. Stochastics and Dynamics, 2010, 10(2): 211-230.
EUGENEW, MOSHEZ K. On the Relation between Ordinary and Stochastic Differential Equations [J]. International Journal of Engineering Science, 1965, 3(2): 213-229.
WONG E, ZAKAI M S. On the Convergence of Ordinary Integrals to Stochastic Integrals [J]. The Annals of Mathematical Statistics, 1965, 36(5): 1560-1564.
ACQUISTAPACE P, TERRENI B. An Approach to Ito Linear Equations in Hilbert Spaces by Approximation of White Noise with ColouredNoise [J]. Stochastic Analysis and Applications, 1984, 2(2): 131-186.
SHEN J, LU K N. Wong-Zakai Approximations and Center Manifolds of Stochastic Differential Equations [J]. Journal of Differential Equations, 2017, 263(8): 4929-4977.
ADAMS R. Sobolev Spaces [M]. New York: Academic Press, 1975.
LV Y, WANG W, ROBERTS A J. Approximation of the Random Inertial Manifold of Singularly Perturbed Stochastic Wave Equations [J]. Stochastics and Dynamics, 2014, 14(2): 1350018.
JIANG T, LIU X M, DUAN J Q. Approximation for Random Stable Manifolds under Multiplicative Correlated Noises [J]. Discrete and Continuous Dynamical Systems-Series B, 2016, 21(9): 3163-3174.
JIANG T, LIU X M, DUAN J Q. A Wong-Zakai Approximation for Random Invariant Manifolds [J]. Journal of Mathematical Physics, 2017, 58(12): 122701.
DUAN J Q, LU K N, SCHMALFUSS B. Smooth Stable and Unstable Manifolds for Stochastic Partial Differential Equations [J]. Journal of Dynamics & Differential Equations, 2004, 16(4): 949-972.
BARBU V, PRATO G D. The Stochastic Nonlinear Damped Wave Equation [J]. Applied Mathematics & Optimization, 2002, 46(2-3): 125-141.
HAIRER M, PARDOUX É. A Wong-Zakai Theorem for Stochastic PDEs [EB/OL]. Journal of the Mathematical Society of Japan, 2015, 67(4): 1551-1604.
TESSITORE G, ZABCZYK J. Wong-Zakai Approximations of Stochastic Evolution Equations [J]. Journal of Evolution Equations, 2006, 6(4): 621-655.
ARNOLD L. Random Dynamical Systems [M]. Berlin: Springer, 1998.
PETTERSSON R. Wong-Zakai Approximations for Reflecting Stochastic Differential Equations [J]. Stochastic Analysisand Applications, 1999, 17(4): 609-617.
LV Y, WANG W. Limiting Dynamics for Stochastic Wave Equations [J]. Journal of Differential Equations, 2008, 244(1): 1-23.
DUAN J Q, LU K N, SCHMALFUSS B. Invariant Manifolds for Stochastic Partial Differential Equations [J]. The Annals of Probability, 2003, 31(4): 2109-2135.