Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument
Joint Authors
Araci, Serkan
Şen, Erdoğan
Seo, Jong Jin
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-09
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In the present paper, a discontinuous boundary-value problem with retarded argument at the two points of discontinuities is investigated.
We obtained asymptotic formulas for the eigenvalues and eigenfunctions.
This is the first work containing two discontinuities points in the theory of differential equations with retarded argument.
In that special case the transmission coefficients δ=γ=1 and retarded argument Δ≡0 in the results obtained in this work coincide with corresponding results in the classical Sturm-Liouville operator.
American Psychological Association (APA)
Şen, Erdoğan& Seo, Jong Jin& Araci, Serkan. 2013. Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-462097
Modern Language Association (MLA)
Şen, Erdoğan…[et al.]. Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument. Journal of Applied Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-462097
American Medical Association (AMA)
Şen, Erdoğan& Seo, Jong Jin& Araci, Serkan. Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-462097
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462097