Spectral Analysis of q-Sturm-Liouville Problem with the Spectral Parameter in the Boundary Condition
Author
Source
Journal of Function Spaces and Applications
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-27
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
This paper is concerned with q-Sturm-Liouville boundary value problem in the Hilbert space with a spectral parameter in the boundary condition.
We construct a self-adjoint dilation of the maximal dissipative q-difference operator and its incoming and outcoming spectral representations, which make it possible to determine the scattering matrix of the dilation.
We prove theorems on the completeness of the system of eigenvalues and eigenvectors of operator generated by boundary value problem.
American Psychological Association (APA)
Eryılmaz, Aytekin. 2012. Spectral Analysis of q-Sturm-Liouville Problem with the Spectral Parameter in the Boundary Condition. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-494602
Modern Language Association (MLA)
Eryılmaz, Aytekin. Spectral Analysis of q-Sturm-Liouville Problem with the Spectral Parameter in the Boundary Condition. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-494602
American Medical Association (AMA)
Eryılmaz, Aytekin. Spectral Analysis of q-Sturm-Liouville Problem with the Spectral Parameter in the Boundary Condition. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-494602
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-494602