Eigenvalue problems involving polynomial operator pencils with unbounded symmetrizable operators are investigated in a suitable Hilbert space, and a variational method for approximating the eigenvalue of the problem is developed, which extends some of the results previously obtained for eigenvalue problems with quadratic or polynomial operator pencils. The theory is illustrated with a numerical example.
|Number of pages||6|
|Journal||Nonlinear Analysis: Theory, Methods and Applications|
|Publication status||Published - Aug 2001|
|Event||3rd World Congress of Nonlinear Analysts - CATANIA, Italy|
Duration: 19 Jul 2000 → 26 Jul 2000