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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/157112026-10-18T20:30:33Zopenairedrivercom_ebyu_10000col_ebyu_10001

On the determination of the singular sturm-liouville operator from two spectraPanakhov, Etibar S.Sat, MuratCoulomb PotentialSingular Sturm-Liouville OperatorSpectrumElectric fieldsInverse problemsLiouville equationMathematical operatorsTheorem provingCoulomb singularitiesDifferential operatorsPotential functionSecond ordersSturm-Liouville equationSturm-Liouville operatorsZero pointDifferential equationsIn this paper an inverse problem by two given spectrum for a secondorder differential operator with coulomb singularity of the type Ax in zero point ( here A is constant), is studied. It is well known that two spectrum λn and μn uniquely determine the potential function q(x) in the singular Sturm-Liouville equation defined on interval (0;p] : The aim of this paper is to prove the generalized degeneracy of the kernel K(x; t) . In particular, we obtain a new proof of the Hochstadt's theorem concerning the structure of the difference eq(x)q∼(x). Copyright © 2012 Tech Science Press.2012Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/157111526-1492enCMES - Computer Modeling in Engineering and Sciencesinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/15711