On impulsive Sturm - Liouville operators with singularity and spectral parameter in boundary conditions
Abstract
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 the Weyl function for this problem and prove uniqueness theorems for a solution of the inverse problem corresponding to this function and spectral data.
English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 12, pp 1816-1838.
Citation Example: Amirov R. Kh., Güldü Y., Topsakal N. On impulsive Sturm - Liouville operators with singularity and spectral parameter in boundary conditions // Ukr. Mat. Zh. - 2012. - 64, № 12. - pp. 1610-1629.
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