R. T. PASHAYEV

Determination of fractional-linear pencil of a fractional-linear pencil of Sturm-Liouville operators by two of its spectra

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

In this paper we consider the Sturm-Liouville equations on a finite interval which is fractional-linear in the spectral parameter. The inverse spectral problem consisting of the recovering of the operator from the two spectra is investigated and a uniqueness theorem for solution of the inverse problem is proved.

PDF

___

[1] Gasymov, M. G., Pashayev, R. T.: On a fractional-linear pencil of Sturm-Liouville type differential operators, Dokl. Akad. Nauk SSSR 294, 1041-1044 (1987).
[2] Pashayev, R. T.: Inverse scattering problem for a fractional-linear pencil of Sturm-Liouville differential operators, Preprint (1996).
[3] Marchenko, V.A., Ostrovsky, I.V.: A characterization of the spectrum of Hill's operator, Math. USSR Sb. 26, 493-554 (1975) .
[4] Gasymov, M. G., Levitan, B. M.: Determination of a differential equation by two of its spectra, Russian Math. Surveys 19, 1-63 (1964).