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The Modified Parseval Equality of Sturm-Liouville Problems with Transmission Conditions
Joint Authors
Bai, Mudan
Sun, Jiong
Yao, Siqin
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-13
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We consider the Sturm-Liouville (S-L) problems with very general transmission conditions on a finite interval.
Firstly, we obtain the sufficient and necessary condition for λ being an eigenvalue of the S-L problems by constructing the fundamental solutions of the problems and prove that the eigenvalues of the S-L problems are bounded below and are countably infinite.
Furthermore, the asymptotic formulas of the eigenvalues and eigenfunctions of the S-L problems are obtained.
Finally, we derive the eigenfunction expansion for Green's function of the S-L problems with transmission conditions and establish the modified Parseval equality in the associated Hilbert space.
American Psychological Association (APA)
Bai, Mudan& Sun, Jiong& Yao, Siqin. 2013. The Modified Parseval Equality of Sturm-Liouville Problems with Transmission Conditions. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-485671
Modern Language Association (MLA)
Bai, Mudan…[et al.]. The Modified Parseval Equality of Sturm-Liouville Problems with Transmission Conditions. Journal of Applied Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-485671
American Medical Association (AMA)
Bai, Mudan& Sun, Jiong& Yao, Siqin. The Modified Parseval Equality of Sturm-Liouville Problems with Transmission Conditions. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-485671
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-485671