Description of the scattering data for Sturm-Liouville operators on the half-line
Keyword(s):
We describe the set of the scattering data for self-adjoint Sturm-Liouville operators on the half-line with potentials belonging to \(L_1(\mathbb{R}_+,\rho(x)\,\text{d} x)\), where \(\rho:\mathbb{R}_+\to\mathbb{R}_+\) is a monotonically nondecreasing function from some family \(\mathscr{R}\). In particular, \(\mathscr{R}\) includes the functions \(\rho(x)=(1+x)^{\alpha}\) with \(\alpha\geq 1\).
2003 ◽
Vol 133
(4)
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pp. 747-758
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Inverse spectral-scattering problem for the Sturm-Liouville operator on a noncompact star-type graph
2013 ◽
Vol 44
(3)
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pp. 327-349
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2019 ◽
Vol 27
(3)
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pp. 439-443
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2011 ◽
Vol 42
(3)
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pp. 247-258
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2015 ◽
Vol 46
(4)
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pp. 401-422
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Keyword(s):
Keyword(s):