Stochastic adsorption-desorption problem for mass-spring systems in the nanotechnology

We show the existence and uniqueness theorem of the solution of stochastic adsorption-desorption problem for mass-spring systems. We also construct the Euler scheme for such a problem. We show the Euler approximation for the solution of a stochastic adsorption-desorption problem converges in the mean-square to its solution and obtain the rate of convergence for the Euler scheme.