|
|||||
|
|
Eigenvalue asymptotics for Sturm-Liouville operators with singular potentials |
|
| Authors: | R.O. Hryniv Y.V. Mykytyuk |
| Affiliation: | a Institute for Applied Problems of Mechanics and Mathematics, 3b Naukova st., 79601 Lviv, Ukraine b Lviv National University, 1 Universytetska st., 79602 Lviv, Ukraine |
| Abstract: | We derive eigenvalue asymptotics for Sturm-Liouville operators with singular complex-valued potentials from the space  , α∈[0,1], and Dirichlet or Neumann-Dirichlet boundary conditions. We also give application of the obtained results to the inverse spectral problem of recovering the potential from these two spectra. |
| Keywords: | Eigenvalue asymptotics Sturm-Liouville operators Singular potentials |
| 本文献已被 ScienceDirect 等数据库收录！ | |