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

  • R. Kh. Amirov
  • Y. Güldü
  • N. Topsakal Cumhuriyet Univ., Turkey


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.
How to Cite
Amirov, R. K., Y. Güldü, and N. Topsakal. “On Impulsive Sturm–Liouville Operators With Coulomb Potential and Spectral Parameter Linearly Contained in Boundary Conditions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 9, Sept. 2010, pp. 1155–1172, https://umj.imath.kiev.ua/index.php/umj/article/view/2946.
Research articles