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

Details 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 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

2010-01-14

arxiv.org/abs/1001.2409v1

Integr.Equ.Oper.Theory 69 (2011) 567-600

Mathematics

Classical Analysis and ODEs

Scientific paper

10.1007/s00020-010-1843-2

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.

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