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

• Published in: Український математичний журнал
• Date: 2012
• Main Authors: Amirov, R.Kh., Guldu, Y., Topsakal, N.
• Format: Article
• Language: English
• Published: Український математичний журнал 2012
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165261
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On impulsive Sturm–Liouville operators with singularity and spectral parameter in boundary conditions / Y. Guldu, R.Kh. Amirov, N. Topsakal // Український математичний журнал. — 2012. — Т. 64, № 12. — С. 1610-1629. — Бібліогр.: 40 назв. — англ.

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...