On spectral properties of one boundary value problem with a surface energy dissipation
Journal: Ufimskii Matematicheskii Zhurnal
Year: 2017

We study a spectral problem in a bounded domain R depending on a bounded operator coefficient > 0 and a dissipation parameter > 0. In the general case we establish sufficient conditions ensuring that the problem has a discrete spectrum consisting of countably many isolated eigenvalues of finite multiplicity accumulating at infinity. We also establish the conditions, under which the system of root elements contains an Abel-Lidskii basis in the space 2 (). In model one-and two-dimensional problems