INTERACTION OF CONCENTRATED MASSES IN A HARMONICALLY OSCILLATING SPATIAL BODY WITH NEUMANN BOUNDARY-CONDITIONS

The asymptotics of eigenvalues of the Neumann spectral problem with co ncentrated masses is derived and justified. The resultant limiting pro blem contains integral terms linking all the equations for the separat ed inclusions into a coupled system. An approach based on the asymptot ic theory of elliptic problems in singularly perturbed domains is used , asymptotically sharp estimates of solutions, and an explicit form fo r the almost inverse to the initial problem operator is presented.