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

摘要

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.