Acknowledgement
Supported by : NSFC
References
- C. M. Dafermos, Asymptotic stability in viscoelasticity, Arch. Ration. Mech. Anal. 37 (1970), 297-308. https://doi.org/10.1007/BF00251609
- S. Woinowsky-Krieger, The effect of axial force on the vibration of hinged bars, J. Appl. Mech. 17 (1950), 35-36.
- H. M. Berger, A new approach to the analysis of largede flections of plates, J. Appl. Mech. 22 (1955), 465-472.
- A. Kh. Khanmamedov, Existence of a global attractor for the plate equation with the critical exponent in an unbounded domain, Appl. Math. Lett. 18 (2005), 827-832. https://doi.org/10.1016/j.aml.2004.08.013
- G. C. Yue and C. K. Zhong, Global attractors for plate equations with critical exponent in locally uniform spaces, Nonlinear Anal. 71 (2009), 4105-4114. https://doi.org/10.1016/j.na.2009.02.089
- A. Kh. Khanmamedov, Global attractors for the plate equation with a localized damping and a critical exponent in an unbounded domain, J. Diff. Equ. 225 (2006), 528-548. https://doi.org/10.1016/j.jde.2005.12.001
- V. Carbone, M. Nascimento, K. Silva and R. Silva, Pullback attractors for a singularly nonautonomous plate equation, Electron. J. Differ. Equ. 77 (2011), 1-13.
- L. Yang and C. K. Zhong, Global attractors for plate equations with nonlinear damping, Nonlinear Anal. 69 (2008), 3802-3810. https://doi.org/10.1016/j.na.2007.10.016
- L. Yang and C. K. Zhong, Uniform attractor for non-autonomous plate equations with a localized damping and a critical nonlinearity, Nonlinear Anal. 338 (2008), 1243-1254.
- A. Kh. Khanmamedov, A global attractor for the plate equation with displacement-dependent damping, Nonlinear Anal. 74 (2011), 1607-1615. https://doi.org/10.1016/j.na.2010.10.031
- Q. Z. Ma and W. J. Ma, Asymptotic behavior of solutions for stochastic plate equations with strongly damped and white noise, J. Northwest Norm. Univ. Nat. Sci. 50 (2014), 6-17.
- W. J. Ma and Q. Z. Ma, Attractors for stochastic strongly damped plate equations with additive noise, Electron. J. Differ. Equ. 111 (2013), 1-12.
- S. F. Zhou and M. Zhao, Random attractors for damped non-autonomous wave equations with memory and white noise, Nonlinear Anal. 120 (2015), 202-226. https://doi.org/10.1016/j.na.2015.03.009
- H. Crauel and F. Flandoli, Attractors for random dynamical system, Probab. Theory Relat. Fields. 100 (1994), 365-393. https://doi.org/10.1007/BF01193705
- L. Arnold, Random Dynamical Systems, Spring-verlag, New York, 1998.
- S. Zhou. Kernel sections for damped non-autonomous wave equations with linear memory and critical exponent, Quart.Appl. Math. 61 (2003), 731-757. https://doi.org/10.1090/qam/2019621
- A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equation, Appl. Math. Sci. vol. 44, Springer-verlag, New York, 1983.
- V. Pata and A. Zucchi, Attractors for a damped hyperbolic equation with linear memory, Adv. Math. Sci. Appl. 11 (2001), 505-529.
Cited by
- Global Attractors of the Extensible Plate Equations with Nonlinear Damping and Memory vol.2017, pp.2314-8888, 2017, https://doi.org/10.1155/2017/4896161
- Random attractors for non-autonomous stochastic plate equations with multiplicative noise and nonlinear damping vol.5, pp.3, 2016, https://doi.org/10.3934/math.2020169
- Existence of a random attractor for non-autonomous stochastic plate equations with additive noise and nonlinear damping on $\mathbb{R}^{n}$ vol.2020, pp.1, 2020, https://doi.org/10.1186/s13661-020-01346-z
-
EXISTENCE AND UPPER SEMI-CONTINUITY OF RANDOM ATTRACTORS FOR NON-AUTONOMOUS STOCHASTIC PLATE EQUATIONS WITH MULTIPLICATIVE NOISE ON
$ \mathbb{R}^N $ vol.11, pp.3, 2021, https://doi.org/10.11948/20200215 - Asymptotic behavior for stochastic plate equations with memory and additive noise on unbounded domains vol.27, pp.1, 2016, https://doi.org/10.3934/dcdsb.2021050