The differential pencils with turning point on the half line

We investigate the inverse spectral problem of recovering pencils of second-order differential operators on the half-line with turning point. Using the asymptotic distribution of the Weyl function, we give a formulation of the inverse problem and prove the uniqueness theorem for the solution of the...

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Bibliographic Details
Published inArab journal of mathematical sciences Vol. 19; no. 1; pp. 95 - 104
Main Authors Neamaty, A., Khalili, Y.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.01.2013
Subjects
34B07
34D05
34L20
Asymptotic form
Sturm–Liouville
Turning point
Weyl function
Sturm–Liouville
Turning point
Weyl function
34L20
34B07
34D05
Asymptotic form
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Summary:We investigate the inverse spectral problem of recovering pencils of second-order differential operators on the half-line with turning point. Using the asymptotic distribution of the Weyl function, we give a formulation of the inverse problem and prove the uniqueness theorem for the solution of the inverse problem.
ISSN:1319-5166
DOI:10.1016/j.ajmsc.2012.08.003