Математическое обоснование модели диффузии с обратимым захватом и динамическими граничными условиями

Mathematical justification of diffusion model with reversible trapping and dynamical boundary conditions is given. The dynamical boundary conditions are determined taking into account adsorption-desorption processes on surface. Solvability problem of model equations is reduced to consideratoin of some class of functional-differentional equations similar to neutral type systems. The model is a. significant example of semidynamical system in Hilbert spaces.