The Asymptotic Nature of Spectral Functions in Sturm–Liouville Problems with Continuous Spectrum
✍ Scribed by M.S.P Eastham
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 164 KB
- Volume
- 213
- Category
- Article
- ISSN
- 0022-247X
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## Abstract We consider nonself‐adjoint singular Sturm–Liouville boundary‐value problems in the limit‐circle case with a spectral parameter in the boundary condition. The approach is based on the use of the maximal dissipative operator, and the spectral analysis of this operator is adequate for the
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