An Inverse Spectral Problem for the Sturm-Liouville Operator on a Three-Star Graph
Joint Authors
Dehghani Tazehkand, I.
Jodayree Akbarfam, A.
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-23, 23 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-27
Country of Publication
Egypt
No. of Pages
23
Main Subjects
Abstract EN
We study an inverse spectral problem for the Sturm-Liouville operator on a three-star graph with the Dirichlet and Robin boundary conditions in the boundary vertices and matching conditions in the internal vertex.
As spectral characteristics,we consider the spectrum of the main problem together with the spectra of two Dirichlet-Dirichlet problems and one Robin-Dirichlet problem on the edges of the graph and investigate their properties and asymptotic behavior.
We prove that if these four spectra do not intersect, then the inverse problem of recovering the operator is uniquely solvable.We give an algorithm for the solution of the inverse problem with respect to this quadruple of spectra.
American Psychological Association (APA)
Dehghani Tazehkand, I.& Jodayree Akbarfam, A.. 2012. An Inverse Spectral Problem for the Sturm-Liouville Operator on a Three-Star Graph. ISRN Applied Mathematics،Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-448302
Modern Language Association (MLA)
Dehghani Tazehkand, I.& Jodayree Akbarfam, A.. An Inverse Spectral Problem for the Sturm-Liouville Operator on a Three-Star Graph. ISRN Applied Mathematics No. 2012 (2012), pp.1-23.
https://search.emarefa.net/detail/BIM-448302
American Medical Association (AMA)
Dehghani Tazehkand, I.& Jodayree Akbarfam, A.. An Inverse Spectral Problem for the Sturm-Liouville Operator on a Three-Star Graph. ISRN Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-23.
https://search.emarefa.net/detail/BIM-448302
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-448302