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The dynamical inverse problem for a non-self-adjoint sturm-liouville operator

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Abstract

An approach to the inverse problem (the so-called BC-method) based on boundary-control theory is developed. A procedure of reconstructing a nonsymmetric matrix-function (a potential) given on a semiaxis by a dynamical response operator is described. The results of numerical tests are presented. Bibliography: 6 titles.

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References

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Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 250, 1998, pp. 7–21.

Translated by T. N. Surkova.

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Avdonin, S.A., Belishev, M.I. & Rozhkov, Y.S. The dynamical inverse problem for a non-self-adjoint sturm-liouville operator. J Math Sci 102, 4139–4148 (2000). https://doi.org/10.1007/BF02673844

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  • DOI: https://doi.org/10.1007/BF02673844

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