A variational method for eigenvalue problems nonlinearly dependent on the spectral parameter

Document Type

Article

Publication Date

8-1-2001

Abstract

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.

Identifier

0035418848 (Scopus)

Publication Title

Nonlinear Analysis Theory Methods and Applications

External Full Text Location

https://doi.org/10.1016/S0362-546X(01)00475-8

ISSN

0362546X

First Page

3561

Last Page

3566

Issue

5

Volume

47

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