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Inverse spectral theory for a singular Sturm-Liouville operator on [0, 1]

✍ Scribed by J.-C Guillot; J.V Ralston

Publisher: Elsevier Science
Year: 1988
Tongue: English
Weight: 710 KB
Volume: 76
Category: Article
ISSN: 0022-0396
DOI: 10.1016/0022-0396(88)90080-0

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The inverse problem of the scattering theory for Sturm-Liouville operator on the half line with boundary condition depending quadratic on the spectral parameter is considered. Scattering data are defined, some properties of the scattering data are examined, the main equation is obtained, solvability