Mennicken, Reinhard and Sakhnovich, A. L. and Tretter, C. (2001) Direct and inverse spectral problem for a system of differential equations depending rationally on the spectral parameter. DUKE MATHEMATICAL JOURNAL, 109 (3). pp. 413-449. ISSN 0012-7094
Full text not available from this repository. (Request a copy)Abstract
A nonclassical skew-selfadjoint system of two linear differential equations is considered, which depends rationally on the spectral parameter Systems of this type are related to the sine-Gordon equation. We introduce the notion of Wp-Junctions (Weyl functions) which are defined in a neighborhood of the poles. The main results are theorems on the existence and uniqueness of the Weyl functions, on the uniqueness of the solutions of the inverse problem, and on explicit solutions for the direct and the inverse problem.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 Dec 2021 10:14 |
| Last Modified: | 07 Dec 2021 10:14 |
| URI: | https://pred.uni-regensburg.de/id/eprint/41098 |
Actions (login required)
 |
View Item |
