2017
Том 69
№ 6

All Issues

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

Amirov R. Kh., Güldü Y., Topsakal N.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 9, pp 1345-1366.

Citation Example: Amirov R. Kh., Güldü Y., Topsakal N. On impulsive Sturm–Liouville operators with Coulomb potential and spectral parameter linearly contained in boundary conditions // Ukr. Mat. Zh. - 2010. - 62, № 9. - pp. 1155–1172.

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