Mennicken, Reinhard and Schmid, H. and Shkalikov, A. A. (1998) On the eigenvalue accumulation of Sturm-Liouville problems depending nonlinearly on the spectral parameter. MATHEMATISCHE NACHRICHTEN, 189 (1). pp. 157-170. ISSN 0025-584X, 1522-2616
Full text not available from this repository.Abstract
A nonlinear spectral problem for a Sturm-Liouville equation - (p(x,lambda)y'(x,lambda))' + q(x,lambda)y(x,lambda) = 0 on a finite interval [a, b] with lambda-dependent boundary conditions is considered. The spectral parameter lambda is varying in an interval Lambda and p(x, lambda), q(x,lambda) are real, continuous functions on [a, b] x Lambda. Some criteria to the eigenvalue accumulation at the endpoints of Lambda will be established. The results are applied to concrete problems ari sing in magnetohydrodynamics.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | EQUATIONS; oscillatory; nonoscillatory; majorant pair; Suydams criterion |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Mar 2023 09:36 |
| Last Modified: | 01 Mar 2023 09:36 |
| URI: | https://pred.uni-regensburg.de/id/eprint/50259 |
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