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@article{MZM_2019_105_2_a11, author = {V. A. Yurko}, title = {On the {Inverse} {Problem} for {Differential} {Operators} on a {Finite} {Interval} with {Complex} {Weights}}, journal = {Matemati\v{c}eskie zametki}, pages = {313--320}, publisher = {mathdoc}, volume = {105}, number = {2}, year = {2019}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2019_105_2_a11/} }
TY - JOUR AU - V. A. Yurko TI - On the Inverse Problem for Differential Operators on a Finite Interval with Complex Weights JO - Matematičeskie zametki PY - 2019 SP - 313 EP - 320 VL - 105 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2019_105_2_a11/ LA - ru ID - MZM_2019_105_2_a11 ER -
V. A. Yurko. On the Inverse Problem for Differential Operators on a Finite Interval with Complex Weights. Matematičeskie zametki, Tome 105 (2019) no. 2, pp. 313-320. http://geodesic.mathdoc.fr/item/MZM_2019_105_2_a11/
[1] V. A. Marchenko, Operatory Shturma–Liuvillya i ikh prilozheniya, Naukova dumka, Kiev, 1977 | MR | Zbl
[2] B. M. Levitan, Obratnye zadachi Shturma–Liuvillya, Nauka, M., 1984 | MR
[3] G. Freiling, V. A. Yurko, Inverse Sturm–Liouville Problems and Their Applications, NOVA Sci. Publ., New York, 2001 | MR | Zbl
[4] V. A. Yurko, Method of Spectral Mappings in the Inverse Problem Theory, VSP, Utrecht, 2002 | MR | Zbl
[5] V. A. Yurko, Vvedenie v teoriyu obratnykh spektralnykh zadach, Fizmatlit, M., 2007
[6] R. J. Krueger, “Inverse problems for nonabsorbing media with discontinuous material properties”, J. Math. Phys., 23:3 (1982), 396–404 | DOI | MR | Zbl
[7] R. S. Anderssen, “The effect of discontinuities in density and shear velocity on the asymptotic overtone structure of tortional eigenfrequencies of the Earth.”, Geophys. J. Int., 50:2 (1977), 303–309 | DOI
[8] O. H. Hald, “Discontinuous inverse eigenvalue problems”, Comm. Pure Appl. Math., 37:5 (1984), 539–577 | DOI | MR | Zbl
[9] V. A. Yurko, “O kraevykh zadachakh s usloviyami razryva vnutri intervala”, Differents. uravneniya, 36:8 (2000), 1139–1140 | MR | Zbl
[10] V. A. Yurko, “Integral transforms connected with discontinuous boundary value problems”, Integral Transform. Spec. Funct., 10:2 (2000), 141–164 | DOI | MR | Zbl
[11] L.-E. Andersson, “Inverse EV problems with discontinuous coefficients”, Inverse Problems, 4:2 (1988), 353–397 | DOI | MR | Zbl
[12] C. Coleman, J. McLaughlin, “Solution of the inverse spectral problem for an impedance with integrable derivative, I, II”, Comm. Pure Appl. Math., 46:2 (1993), 145–184 | DOI | MR | Zbl
[13] G. Freilng, V. Yurko, “Inverse problems for differential equations with turning points”, Inverse Problems, 13:5 (1997), 1247–1263 | DOI | MR
[14] G. Freilng, V. Yurko, “Inverse spectral problems for differential equations on the half-line with turning points”, J. Differential Equations, 154:2 (1999), 419–453 | DOI | MR
[15] V. A. Yurko, “Obratnaya zadacha dlya puchkov differentsialnykh operatorov na poluosi s tochkami povorota”, Fundament. i prikl. matem., 12:5 (2006), 237–246 | MR | Zbl
[16] M. A. Naimark, Lineinye differentsialnye operatory, Nauka, M., 1969 | MR | Zbl