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
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【 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   

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