ALGORITHMS FOR RECOVERY OF DIFFUSION AND STURM-LIOUVILLE OPERATORS WITH SEMI-SEPARATED BOUNDARY CONDITIONS

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Nabiev I. M., Mammadova L. I., Mammedzadeh G. S.

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, vol.49, no.2, pp.219-227, 2023 (ESCI)

• Publication Type: Article / Article
• Volume: 49 Issue: 2
• Publication Date: 2023
• Doi Number: 10.30546/2409-4994.2023.49.2.219
• Journal Name: PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.219-227
• Azerbaijan State University of Economics (UNEC) Affiliated: No

Abstract

Diffusion and Sturm-Liouville equations under semi-separated boundary conditions, one of which contains a quadratic function of the spectral parameter are considered in this paper. Some properties of the spectrum of the operators under consideration are given, uniqueness the-orems are proved, and algorithms for solving inverse recovery problems for the corresponding boundary value problems are constructed.