Approximation and variational characteristics for the spectrum of nonsmooth Rayleigh systems. (Russian) Zbl 0895.49020
Summary: Variational characteristics for eigenvalues of nonsmooth Rayleigh systems are studied. A theorem on approximation of a nonsmooth Rayleigh system by piecewise linear Rayleigh systems has been proved.
MSC:
| 49R50 | Variational methods for eigenvalues of operators (MSC2000) |
| 47A75 | Eigenvalue problems for linear operators |
| 47A56 | Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) |
