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Discontinuous Sturm-Liouville Problems and Associated Sampling Theories
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-30, 30 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-31
Country of Publication
Egypt
No. of Pages
30
Main Subjects
Abstract EN
This paper investigates the sampling analysis associated with discontinuous Sturm-Liouville problems with eigenvalue parameters in two boundary conditions and with transmission conditions at the point of discontinuity.
We closely follow the analysis derived by Fulton (1977) to establish the needed relations for the derivations of the sampling theorems including the construction of Green's function as well as the eigenfunction expansion theorem.
We derive sampling representations for transforms whose kernels are either solutions or Green's functions.
In the special case, when our problem is continuous, the obtained results coincide with the corresponding results in the work of Annaby and Tharwat (2006).
American Psychological Association (APA)
Tharwat, M. M.. 2011. Discontinuous Sturm-Liouville Problems and Associated Sampling Theories. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-30.
https://search.emarefa.net/detail/BIM-484915
Modern Language Association (MLA)
Tharwat, M. M.. Discontinuous Sturm-Liouville Problems and Associated Sampling Theories. Abstract and Applied Analysis No. 2011 (2011), pp.1-30.
https://search.emarefa.net/detail/BIM-484915
American Medical Association (AMA)
Tharwat, M. M.. Discontinuous Sturm-Liouville Problems and Associated Sampling Theories. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-30.
https://search.emarefa.net/detail/BIM-484915
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-484915