SPECTRAL PROBLEMS FOR STURM-LIOUVILLE OPERATOR WITH NON-SEPARATED BOUNDARY CONDITION LINEARLY DEPENDENT ON THE EIGENPARAMETER
Proceedings of the Institute of Mathematics and Mechanics, vol.51, no.1, pp.99-106, 2025 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 51 Issue: 1
- Publication Date: 2025
- Doi Number: 10.30546/2409-4994.2025.51.1.1021
- Journal Name: Proceedings of the Institute of Mathematics and Mechanics
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.99-106
- Keywords: eigenvalues, inverse problem, Sturm-Liouville operator, uniqueness theorem
- Open Archive Collection: Article
- Azerbaijan State University of Economics (UNEC) Affiliated: Yes
Abstract
The paper considers the Sturm-Liouville operator with separated and non-separated boundary conditions. The non-separated boundary condition contains a linear function of the spectral parameter. The properties of eigenvalues are studied, and a theorem of uniqueness of the solution of the inverse problem of recovering the corresponding boundary value problems from two spectra is proved.