Geodesic
About the problem of characterization of the Shturm--Loiuville operator's boundary conditions by the spectrum
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2009), pp. 12-20

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A new formulation of the inverse spectral problem about the restoration of the boundary conditions' coefficients of the Shturm–Loiuville operator on a segment is considered. The theorems of existence and isolation of the solutions of the given task are proved, and the algorithm of numerical solution of the given problem is suggested.
Keywords: the identification of boundary conditions of a dynamic system; inverse spectral problem; existence, isolation and stability of the solution; algorithm of numerical solution. 
@article{VSGU_2009_6_a1,
     author = {N. F. Valeev and S. A. Rabtsevich and E. R. Nugumanov},
     title = {About the problem of characterization of the {Shturm--Loiuville} operator's boundary conditions by the spectrum},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {12--20},
     publisher = {mathdoc},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2009_6_a1/}
}
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N. F. Valeev; S. A. Rabtsevich; E. R. Nugumanov. About the problem of characterization of the Shturm--Loiuville operator's boundary conditions by the spectrum. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2009), pp. 12-20. http://geodesic.mathdoc.fr/item/VSGU_2009_6_a1/