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On impulsive Sturm–Liouville operators with Coulomb potential and spectral parameter linearly contained in boundary conditions

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Ukrainian Mathematical Journal Aims and scope

The Sturm–Liouville problem with linear discontinuities is investigated in the case where an eigenparameter appears not only in a differential equation but also in boundary conditions. Properties and the asymptotic behavior of spectral characteristics are studied for the Sturm–Liouville operators with Coulomb potential that have discontinuity conditions inside a finite interval. Moreover, the Weyl function for this problem is defined and uniqueness theorems are proved for a solution of the inverse problem with respect to this function.

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Authors and Affiliations

  1. Cumhuriyet University, Sivas, Turkey

    R. Kh. Amirov, N. Topsakal & Y. Güldü

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  1. R. Kh. Amirov
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  2. N. Topsakal
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  3. Y. Güldü
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 9, pp. 1155–1172, September, 2010.

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Amirov, R.K., Topsakal, N. & Güldü, Y. On impulsive Sturm–Liouville operators with Coulomb potential and spectral parameter linearly contained in boundary conditions. Ukr Math J 62, 1345–1366 (2011). https://doi.org/10.1007/s11253-011-0436-9

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  • DOI: https://doi.org/10.1007/s11253-011-0436-9

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