UNIQUENESS OF THE SOLUTION OF THE INVERSE PROBLEM FOR DIFFERENTIAL OPERATOR WITH SEMISEPARATED BOUNDARY CONDITIONS | Zendy

L.I. MAMMADOVA | Zendy; Ch.H. RZAYEVA | Zendy; Ibrahim Nabiev | Zendy

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UNIQUENESS OF THE SOLUTION OF THE INVERSE PROBLEM FOR DIFFERENTIAL OPERATOR WITH SEMISEPARATED BOUNDARY CONDITIONS

Author(s) -

L.I. MAMMADOVA,

Ch.H. RZAYEVA,

Ibrahim Nabiev

Publication year - 2022

Publication title -

baku mathematical journal

Language(s) - English

Resource type - Journals

eISSN - 2790-8429

pISSN - 2790-8410

DOI - 10.32010/j.bmj.2022.05

Subject(s) - mathematics , uniqueness , boundary value problem , operator (biology) , eigenvalues and eigenvectors , uniqueness theorem for poisson's equation , mathematical analysis , differential operator , inverse problem , inverse , boundary (topology) , trace operator , semi elliptic operator , sturm–liouville theory , mixed boundary condition , elliptic boundary value problem , physics , geometry , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , gene

In the article we consider the Sturm-Liouville operator with semiseparated boundary conditions, one of which contains a spectral parameter. An asymptotic formula for the eigenvalues of the operator under consideration is given and a uniqueness theorem for the solution of the inverse problem of recovering the corresponding boundary value problems is proved.

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