2017
Том 69
№ 7

All Issues

On impulsive Sturm - Liouville operators with singularity and spectral parameter in boundary conditions

Amirov R. Kh., Güldü Y., Topsakal N.

Full text (.pdf)


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.

Full text