Friedrichs extensions for singular Hamiltonian operators with intermediate deficiency indices

被引：21
|
作者：
Zheng, Zhaowen [1 ]
Kong, Qingkai [2 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[2] Northern Illinois Univ, Dept Math, De Kalb, IL 60115 USA
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 461卷 / 02期
关键词：
Hamiltonian operator; Friedrichs extension; LC-type solution; Intermediate deficiency index; Disconjugate; ORDINARY DIFFERENTIAL-OPERATORS; STURM-LIOUVILLE PROBLEMS; SPECTRAL THEORY; SYSTEMS; EXPRESSIONS; EIGENVALUES; POINT;
D O I：
10.1016/j.jmaa.2017.12.042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For singular Hamiltonian operators in the intermediate deficiency indices case, we give a complete characterization of Friedrichs extensions of minimal Hamiltonian operators, which unifies and generalizes some known results in the literature. The exact boundary conditions for the Friedrichs extensions are constructed via the principal solutions. The main approach in this paper is the Friedrichs construction by way of the refined LC-type solutions at singular endpoints. (C) 2017 Elsevier Inc. All rights reserved.
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页码：1672 / 1685
页数：14
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