Stability of the Reconstruction Discontinuous Sturm-Liouville Problem

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:68 Issue:1
Stability of the Reconstruction Discontinuous Sturm-Liouville Problem

Stability of the Reconstruction Discontinuous Sturm-Liouville Problem

Authors : Ahu ERCAN, Etibar PANAKHOV

Pages : 484-499

Doi:10.31801/cfsuasmas.430861

View : 40 | Download : 14

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :In this work, we study stability of the inverse spectral problem for the Sturm-Liouville operator -D²+q with discontinuity boundary conditions inside a finite closed interval. We use the method which is given by Ryabushko for regular Sturm-Liouville operator in ryb to obtain stability results. These results give a bound for the difference between the spectral functions of associated problems. In addition, we give asymptotic representation of the eigenvalues and a formula for the representation of the norming constants by two spectra.
Keywords : Discontinuity, stability, spectral function, Sturm Liouville

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