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dc.contributor.authorAshrafyan, Yuri
dc.contributor.authorMichels, Dominik L.
dc.date.accessioned2020-09-14T11:52:56Z
dc.date.available2020-09-14T11:52:56Z
dc.date.issued2020-08-29
dc.identifier.urihttp://hdl.handle.net/10754/665126
dc.description.abstractWe consider the inverse spectral theory of vibrating string equations. In this regard, first eigenvalue Ambarzumyan-type uniqueness theorems are stated and proved subject to separated, self-adjoint boundary conditions. More precisely, it is shown that there is a curve in the boundary parameters' domain on which no analog of it is possible. Necessary conditions of the $n$-th eigenvalue are identified, which allows to state the theorems. In addition, several properties of the first eigenvalue are examined. Lower and upper bounds are identified, and the areas are described in the boundary parameters' domain on which the sign of the first eigenvalue remains unchanged. This paper contributes to inverse spectral theory as well as to direct spectral theory.
dc.publisherarXiv
dc.relation.urlhttps://arxiv.org/pdf/2008.13035
dc.rightsArchived with thanks to arXiv
dc.titleOn Ambarzumyan-type Inverse Problems of Vibrating String Equations
dc.typePreprint
dc.contributor.departmentVisual Computing Center (VCC)
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentComputer Science Program
dc.eprint.versionPre-print
dc.identifier.arxivid2008.13035
kaust.personAshrafyan, Yuri
kaust.personMichels, Dominik L.
refterms.dateFOA2020-09-14T11:53:29Z


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