中文摘要：

主要考虑带可加与可乘白噪声的具强阻尼的随机波动方程的随机吸引子的分形维数的上界估计式．首先，利用Omstein-Uhlenbeck过程将具白噪声的随机方程转化成以随机变量为参数的无噪声的随机方程；然后。把该随机方程的2个解之差适当分解成2个部分之和，并分别估计这2个部分的模及某些随机变量的期望的有界性；最后，得到了所研方程的随机吸引子的分形维数的上界估计式．

英文摘要：

It was considered the upper bound estimation of the fractal dimension of random attractors for stochastic strongly damped wave equations with additive and muhiplicative white noises. Firstly, these stochastic equations with white noises was transfered into random equations with random parameters without noise terms by the Ornstein-Uhlenbeck process. Secondly, it was divided the difference between the two solutions of random equations into a sum of two parts, and estimated the norm of these two parts and the boundedness of expectation of some random variables, respectively. Finally, it was obtained the upper bound estimation formula of the fractal dimension of random attractors for the considered equations.