Abstract
We prove theorems on the solvability of the inverse Sturm-Liouville problem with nonseparated conditions by two spectra and one eigenvalue and theorems on the unique solvability by two spectra and three eigenvalues. We find exact and approximate solutions of the inverse problems. Related examples and counterexample are given.
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Original Russian Text © V.A. Sadovnichii, Ya.T. Sultanaev, A. M. Akhtyamov, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 6, pp. 706–713.
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Sadovnichii, V.A., Sultanaev, Y.T. & Akhtyamov, A.M. Solvability theorems for an inverse nonself-adjoint Sturm-Liouville problem with nonseparated boundary conditions. Diff Equat 51, 717–725 (2015). https://doi.org/10.1134/S0012266115060026
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DOI: https://doi.org/10.1134/S0012266115060026