We study properties and the asymptotic behavior of spectral characteristics for a class of singular Sturm–Liouville differential operators with discontinuity conditions and an eigenparameter in boundary conditions. We also determine theWeyl function for this problem and prove uniqueness theorems for a solution of the inverse problem corresponding to this function and spectral data.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 12, pp. 1610–1629, December, 2012.
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Guldu, Y., Amirov, R.K. & Topsakal, N. On impulsive Sturm–Liouville operators with singularity and spectral parameter in boundary conditions. Ukr Math J 64, 1816–1838 (2013). https://doi.org/10.1007/s11253-013-0754-1
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DOI: https://doi.org/10.1007/s11253-013-0754-1