SPECTRAL PROBLEMS FOR STURM-LIOUVILLE OPERATOR WITH NON-SEPARATED BOUNDARY CONDITION LINEARLY DEPENDENT ON THE EIGENPARAMETER

Nabiev, Ibrahim; Mammadova, Leyla; MƏMMƏDZADƏ, GÜLDANƏ

doi:10.30546/2409-4994.2025.51.1.1021

SPECTRAL PROBLEMS FOR STURM-LIOUVILLE OPERATOR WITH NON-SEPARATED BOUNDARY CONDITION LINEARLY DEPENDENT ON THE EIGENPARAMETER

Nabiev I. M., Mammadova L. I., MƏMMƏDZADƏ G.

Proceedings of the Institute of Mathematics and Mechanics, vol.51, no.1, pp.99-106, 2025 (ESCI)

Nəşrin Növü: Article / Article
Cild: 51 Say: 1
Nəşr tarixi: 2025
Doi nömrəsi: 10.30546/2409-4994.2025.51.1.1021
jurnalın adı: Proceedings of the Institute of Mathematics and Mechanics
Jurnalın baxıldığı indekslər: Emerging Sources Citation Index (ESCI), Scopus
Səhifə sayı: pp.99-106
Açar sözlər: eigenvalues, inverse problem, Sturm-Liouville operator, uniqueness theorem
Açıq Arxiv Kolleksiyası: Məqalə
Adres: Bəli

Qısa məlumat

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.