Аннотация:The discrete sources method is used in the framework of the generalized nonlocal optical response theory (GNOR) to construct a mathematical model of a layered magnetite-Au nanoparticle allowing for thespatial dispersion in the gold shell. We analyze the additional boundary conditions on the magnetite-Auinterface that ensure unique solvability of the boundary-value diffraction problem. We investigatethe effect of spatial dispersion on the field enhancement factor at the exterior boundary of the layered particle, allowing also for possible asymmetry in the position of the core relative to the shell.