Simplicity and Spectrum of Singular Hamiltonian Systems of Arbitrary Order
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-29
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The paper is concerned with singular Hamiltonian systems of arbitrary order with arbitrary equal defect indices.
It is proved that the minimal operator generated by the Hamiltonian system is simple.
As a consequence, a sufficient condition is obtained for the continuous spectrum of every self-adjoint extension of the minimal operator to be empty in some interval and for the spectrum to be nowhere dense in this interval in terms of the numbers of linearly independent square integrable solutions.
American Psychological Association (APA)
Sun, Huaqing. 2013. Simplicity and Spectrum of Singular Hamiltonian Systems of Arbitrary Order. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-454108
Modern Language Association (MLA)
Sun, Huaqing. Simplicity and Spectrum of Singular Hamiltonian Systems of Arbitrary Order. Abstract and Applied Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-454108
American Medical Association (AMA)
Sun, Huaqing. Simplicity and Spectrum of Singular Hamiltonian Systems of Arbitrary Order. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-454108
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454108