http://dspace.nbuv.gov.ua:80/handle/123456789/106557 2026-04-18T20:32:08Z http://dspace.nbuv.gov.ua:80/handle/123456789/106680 Авторский указатель к тому 2 за 2006 год 2006-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106679 On the Characteristic Operators and Projections and on the Solutions of Weyl Type of Dissipative and Accumulative Operator Systems.III. Separated Boundary Conditions Khrabustovsky, V.I. For the systems as in the title, boundary-value problems with separated boundary conditions are considered. We prove that the characteristic operator of such problem admits a special expression in terms of the projection (characteristic projection). This allows one to introduce for the above systems the analogues of theWeyl functions and solutions, to establish for them the Weyl type inequalities which turn out to be well known in a number of special cases. 2006-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106678 Homogenization of Electrostatic Problems in Nonlinear Medium with Thin Perfectly Conducting Grids Goncharenko, M.V.; Prytula, V.I. The asymptotic behavior of solutions of the family of nonlinear elliptic equations in domains with thin grids concentrating near a hypersurface when measure of the wires tends to zero and the density tends to infinity is investigated. The homogenized equations and the homogenized boundary conditions are derived. The homogenization technique is based on applying of the abstract theorem on homogenization of the nonlinear variational functionals in the Sobolev-Orlicz spaces. 2006-01-01T00:00:00Z http://dspace.nbuv.gov.ua:80/handle/123456789/106677 On the Discrete Spectrum of Complex Banded Matrices Golinskii, L.; Kudryavtsev, M. The discrete spectrum of complex banded matrices that are compact perturbations of the standard banded matrix of order p is under consideration. The rate of stabilization for the matrix entries sharp in the sense of order which provides finiteness of the discrete spectrum is found. The p-banded matrix with the discrete spectrum having exactly p limit points on the interval (-2, 2) is constructed. The results are applied to study the discrete spectrum of asymptotically periodic Jacobi matrices. 2006-01-01T00:00:00Z