Open AccessUNIQUENESS 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) - uniqueness , mathematics , boundary value problem , operator (biology) , eigenvalues and eigenvectors , uniqueness theorem for poisson's equation , mathematical analysis , inverse problem , differential operator , inverse , trace operator , boundary (topology) , elliptic boundary value problem , mixed boundary condition , physics , chemistry , geometry , biochemistry , 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.