Existence of a random attractor for non-autonomous stochastic plate equations with additive noise and nonlinear damping on R n $\mathbb{R}^{n}$

Abstract

Abstract Based on the abstract theory of pullback attractors of non-autonomous non-compact dynamical systems by differential equations with both dependent-time deterministic and stochastic forcing terms, introduced by Wang in (J. Differ. Equ. 253:1544–1583, 2012), we investigate the existence of pullback attractors for the non-autonomous stochastic plate equations with additive noise and nonlinear damping on R n $\mathbb{R}^{n}$ .

Keywords

• Pullback attractors
• Pate equation
• Unbounded domains
• The splitting technique
• Additive noise