The Maslov Index and Spectral Counts for Linear Hamiltonian Systems on [0, 1]
The Maslov Index and Spectral Counts for Linear Hamiltonian Systems on [0, 1]
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[0, 1] 上线性哈密顿系统的马斯洛夫指数和谱计数
DOI：
10.1007/s10884-017-9625-z
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发表时间：
2017
影响因子：
1.3
通讯作者：
Bongsuk Kwon
中科院分区：
文献类型：
--
作者：
P. Howard;Soyeun Jung;Bongsuk Kwon
Working with general linear Hamiltonian systems on [0, 1], and with a wide range of self-adjoint boundary conditions, including both separated and coupled, we develop a general framework for relating the Maslov index to spectral counts. Our approach is illustrated with applications to Schrödinger systems on R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {R}}$$\end{document} with periodic coefficients, and to Euler–Bernoulli systems in the same context.
Working with general linear Hamiltonian systems on [0, 1], and with a wide range of self-adjoint boundary conditions, including both separated and coupled, we develop a general framework for relating the Maslov index to spectral counts. Our approach is illustrated with applications to Schrödinger systems on R\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {R}}$$\end{document} with periodic coefficients, and to Euler–Bernoulli systems in the same context.
R2n 上拉格朗日对的马斯洛夫指数
影响因子：
1.3
作者：
Howard, P.;Latushkin, Y.;Sukhtayev, A.
通讯作者：
Sukhtayev, A.
薛定谔算子的莫尔斯指数和马斯洛夫指数
DOI：
10.1007/s11854-018-0043-x
发表时间：
2018
期刊：
Journal d'Analyse Mathématique
影响因子：
--
作者：
Latushkin, Yuri;Sukhtaiev, Selim;Sukhtayev, Alim
通讯作者：
Sukhtayev, Alim