期刊论文详细信息
Opuscula Mathematica | |
Description of the scattering data for Sturm-Liouville operators on the half-line | |
article | |
Yaroslav Mykytyuk1  Nataliia Sushchyk1  | |
[1] Lviv National University, 1 Universytets'ka Str. | |
关键词: inverse scattering; Schrödinger operator; Banach algebra.; | |
DOI : 10.7494/OpMath.2019.39.4.557 | |
学科分类:环境科学(综合) | |
来源: AGH University of Science and Technology Press | |
【 摘 要 】
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 \(\alpha\geq 1\).
【 授权许可】
CC BY-NC
【 预 览 】
Files | Size | Format | View |
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RO202302200001575ZK.pdf | 514KB | download |