Tretter, Christiane (1996) Nonselfadjoint spectral problems for linear pencils N-lambda P of ordinary differential operators with lambda-linear boundary conditions: Completeness results. INTEGRAL EQUATIONS AND OPERATOR THEORY, 26 (2). pp. 222-248. ISSN 0378-620X, 1420-8989
Full text not available from this repository.Abstract
We study nonselfadjoint spectral problems for ordinary differential equations N(y)-lambda P(y) = 0 with lambda-linear boundary conditions where the order p of the differential operator P is less than the order n of N. The present paper addresses the question of the completeness of the eigenfunctions and associated functions in the Sobolev spaces W-2(k)(0,1) for k = 0,1,...,n. To this end we associate a pencil K-lambda H of operators acting from L(2)(0,1) to the larger space L(2)(0,1)xC(n) with the given problem. We establish completeness results for normal problems in certain finite codimensional subspaces of W-2(k)(0,1) which are characterized by means of Jordan chains in 0 of the adjoint of the compact operator A = HK-1.
| Item Type: | Article |
|---|---|
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Jun 2023 09:13 |
| Last Modified: | 22 Jun 2023 09:13 |
| URI: | https://pred.uni-regensburg.de/id/eprint/51436 |
Actions (login required)
 |
View Item |
