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@article{FAA_1999_33_3_a10, author = {V. N. Pyvovarchyk}, title = {Reconstruction of the {Potential} of the {Sturm--Liouville} {Equation} from {Three} {Spectra} of {Boundary} {Value} {Problems}}, journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a}, pages = {87--90}, publisher = {mathdoc}, volume = {33}, number = {3}, year = {1999}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/FAA_1999_33_3_a10/} }
TY - JOUR AU - V. N. Pyvovarchyk TI - Reconstruction of the Potential of the Sturm--Liouville Equation from Three Spectra of Boundary Value Problems JO - Funkcionalʹnyj analiz i ego priloženiâ PY - 1999 SP - 87 EP - 90 VL - 33 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FAA_1999_33_3_a10/ LA - ru ID - FAA_1999_33_3_a10 ER -
%0 Journal Article %A V. N. Pyvovarchyk %T Reconstruction of the Potential of the Sturm--Liouville Equation from Three Spectra of Boundary Value Problems %J Funkcionalʹnyj analiz i ego priloženiâ %D 1999 %P 87-90 %V 33 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/FAA_1999_33_3_a10/ %G ru %F FAA_1999_33_3_a10
V. N. Pyvovarchyk. Reconstruction of the Potential of the Sturm--Liouville Equation from Three Spectra of Boundary Value Problems. Funkcionalʹnyj analiz i ego priloženiâ, Tome 33 (1999) no. 3, pp. 87-90. http://geodesic.mathdoc.fr/item/FAA_1999_33_3_a10/
[1] Jaulent M., Jean C., “The inverse $s$-wave scattering problem for a class of potentials depending on energy”, Commun. Math. Phys., 28 (1972), 177–220 | DOI | MR
[2] Jaulent M., “Inverse scattering problems in absorbing media”, J. Math. Phys., 17:7 (1976), 1351–1360 | DOI | MR
[3] Jaulent M., Jean C., “The inverse problem for the one-dimensional Schrodinger equation with an energy-dependent potential”, Ann. Inst. H. Poincaré, sec. A, 25:2 (1976), 105–118 | MR | Zbl
[4] Aktosun T., Klaus M., van der Mee C., “Wave scattering in one dimension with absorption”, J. Math. Phys., 39:4 (1998), 1957–1992 | DOI | MR | Zbl
[5] Gasymov M. G., Guseinov G. Sh., Dokl. AN AzSSR, 37:2 (1981), 19–23 | MR | Zbl
[6] Pivovarchik V. N., “An inverse Sturm–Liouville problem by three spectra”, Integral Equations Operator Theory, 34:2 (1999), 234–243 | DOI | MR
[7] Gesztesy F., Simon B., “On the determination of a potential from three spectra”, Differential operators and spectral theory, Birman Birthday Volume in Advances in Mathematical Sciences, eds. V. Buslaev and M. Solomyak, Amer. Math. Soc., Providence, RI, 1999, 85–92 | MR | Zbl
[8] Marchenko V. A., Operatory Shturma–Liuvillya i ikh prilozheniya, Naukova dumka, Kiev, 1977 | MR
[9] Levin B. Ya., Lectures on entire functions, Transl. Math. Monographs, 150, 1996 | DOI | MR
[10] Levitan B. M., Gasymov M. G., “Opredelenie differentsialnogo uravneniya po dvum spektram”, UMN, 19:2(116) (1964), 3–63 | MR | Zbl
[11] Levitan B. M., Obratnye zadachi Shturma–Liuvillya, Nauka, M., 1984 | MR