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Inverse Problem for Sturm–Liouville Operators with Coulomb Potential which have Discontinuity Conditions Inside an Interval

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Abstract

In this study, properties of spectral characteristic are studied for Sturm–Liouville operators with Coulomb potential which have discontinuity conditions inside a finite interval. Also Weyl function for this problem under consideration has been defined and uniqueness theorems for solution of inverse problem according to this function have been proved.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Arts and Sciences, Cumhuriyet University, 58140, Sivas, Turkey

    Nilifer Topsakal & Rauf Amirov

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  1. Nilifer Topsakal
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  2. Rauf Amirov
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Correspondence to Nilifer Topsakal.

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Topsakal, N., Amirov, R. Inverse Problem for Sturm–Liouville Operators with Coulomb Potential which have Discontinuity Conditions Inside an Interval. Math Phys Anal Geom 13, 29–46 (2010). https://doi.org/10.1007/s11040-009-9066-y

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  • DOI: https://doi.org/10.1007/s11040-009-9066-y

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