Ambarzumyan’s theorem for the quasi-periodic boundary conditions

被引：0
作者：
Alp Arslan Kıraç
机构：
[1] Pamukkale University,Department of Mathematics, Faculty of Arts and Sciences
来源：
Analysis and Mathematical Physics | 2016年 / 6卷
关键词：
Ambarzumyan theorem; Inverse spectral theory; Hill operator; Quasi-periodic ; 34A55; 34B30; 34L05; 47E05; 34B09;
D O I：
暂无
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学科分类号：
摘要：
We obtain the classical Ambarzumyan’s theorem for the Sturm–Liouville operators Lt(q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_{t}(q)$$\end{document} with q∈L1[0,1]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$q\in L^{1}[0,1]$$\end{document} and quasi-periodic boundary conditions, t∈[0,2π)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$t\in [0,2\pi )$$\end{document}, when there is not any additional condition on the potential q.
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页码：297 / 300
页数：3
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