On the eigenvalues and eigenfunctions of the Sturm-Liouville operator with a singular potential

Mathematical Notes

Volumn 69, Issue 1-2, 2001, Pages 245-252

  Savchuk, A M ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

Dirichlet conditions; Singular potential; Sturm Liouville operator

Indexed keywords

EID: 6344285212     PISSN: 00014346     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1002880520696     Document Type: Article

References (6)

1. M. A. Naimark, Linear Differential Operators [in Russian], Nauka, Moscow, 1969.
2. A. M. Savchuk and A. A. Shkalikov, "The Sturm-Liouville operators with singular potentials," Mat. Zametki [Math. Notes], 66 (1999), no. 6, 897-912.
3. Ph. Hartman, Ordinary Differential Equations, New York, 1964.
4. A. A. Shkalikov, "Boundary-value problems for ordinary differential equations with a parameter in the boundary conditions," Trudy Sem. Petrovskogo (1983), 190-229.
5. A. Zygmund, Trigonometric Series, vol. I, Cambridge Univ. Press, Cambridge, 1959.
6. F. Atkinson, Discrete and Continuous Boundary-Value Problems, New York, 1964.