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@article{ISU_2017_17_3_a3, author = {M. Yu. Ignatiev and S. Yu. Sovetnikova}, title = {On recovering integro-differential operators from the {Weyl} function}, journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics}, pages = {276--284}, publisher = {mathdoc}, volume = {17}, number = {3}, year = {2017}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/ISU_2017_17_3_a3/} }
TY - JOUR AU - M. Yu. Ignatiev AU - S. Yu. Sovetnikova TI - On recovering integro-differential operators from the Weyl function JO - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics PY - 2017 SP - 276 EP - 284 VL - 17 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ISU_2017_17_3_a3/ LA - ru ID - ISU_2017_17_3_a3 ER -
%0 Journal Article %A M. Yu. Ignatiev %A S. Yu. Sovetnikova %T On recovering integro-differential operators from the Weyl function %J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics %D 2017 %P 276-284 %V 17 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/ISU_2017_17_3_a3/ %G ru %F ISU_2017_17_3_a3
M. Yu. Ignatiev; S. Yu. Sovetnikova. On recovering integro-differential operators from the Weyl function. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 17 (2017) no. 3, pp. 276-284. http://geodesic.mathdoc.fr/item/ISU_2017_17_3_a3/
[1] Marchenko V. A., Sturm–Liouville operators and their applications, Birkhäuser, 1986, 393 pp. | MR
[2] Levitan B. M., Inverse Sturm–Liouville problems, VNU Sci. Press, Utrecht, 1987, 246 pp. | MR | Zbl
[3] Freiling G., Yurko V. A., Inverse Sturm–Liouville Problems and their Applications, NOVA Sci. Publ., N. Y., 2001, 305 pp. | MR | Zbl
[4] Beals R., Deift P., Tomei C., Direct and Inverse Scattering on the Line, Math. Surveys and Monographs, 28, Amer. Math. Soc., Providence, RI, 1988, 209 pp. | DOI | MR | Zbl
[5] Yurko V. A., Method of Spectral Mappings in the Inverse Problem Theory, Inverse and Ill-posed Problems Series, VSP, Utrecht, 2002, 316 pp. | MR | Zbl
[6] Yurko V. A., Inverse Spectral Problems for Differential Operators and their Applications, Gordon and Breach, Amsterdam, 2000, 265 pp. | MR | Zbl
[7] Lakshmikantham V., Rama Mohana Rao M., Theory of Integro-differential Equations, Stability and Control : Theory and Applications, 1, Gordon and Breach, Singapure, 1995, 308 pp. | MR | Zbl
[8] Yurko V. A., “An inverse problem for integro-differential operators”, Math. Notes, 50:5–6 (1991), 1188–1197 | DOI | MR | Zbl
[9] Kuryshova Yu., “An inverse spectral problem for differential operators with integral delay”, Tamkang J. Math., 42:3 (2011), 295–303 | DOI | MR | Zbl
[10] Buterin S., “On an inverse spectral problem for a convolution integro-differential operator”, Results in Math., 50 (2007), 173–181 | DOI | MR
[11] Buterin S. A., “On the reconstruction of a convolution perturbation of the Sturm–Liouville operator from the spectrum”, Differential Equations, 46:1 (2010), 150–154 | DOI | MR | Zbl