Determination of two unknowns simultaneously for stochastic Euler-Bernoulli beam equations

In this paper, we are concerned with inverse problems with two unknowns for stochastic dynamic Euler-Bernoulli beam equations. By some suitable observations, one can determine the random force intensity and the initial velocity uniquely. The uniqueness result is proved by means of global Carleman estimates for the stochastic beam equations. It shows that the formulation of inverse problems for the stochastic Euler-Bernoulli beam equations is different from the deterministic counterpart.