Construction of the solution of the inverse spectral problem for a system depending rationally on the spectral parameter, Borg-Marchenko-type theorem, and sine-Gordon equation
Abstract
Weyl theory for a non-classical system depending rationally on the spectral parameter is treated. Borg-Marchenko-type uniqueness theorem is proved. The solution of the inverse problem is constructed. An application to sine-Gordon equation in laboratory coordinates is given.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2010
- DOI:
- arXiv:
- arXiv:1001.2409
- Bibcode:
- 2010arXiv1001.2409S
- Keywords:
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- Mathematics - Classical Analysis and ODEs;
- Mathematics - Analysis of PDEs;
- 34B07;
- 34A55;
- 34B20;
- 35Q51
- E-Print:
- Integral Equations and Operator Theory 69 (2011), 567-600