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@article{ISU_2008_8_3_a1, author = {V. A. Yurko}, title = {Recovering differential operators on a~graph with a~cycle and with generalized matching conditions}, journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics}, pages = {10--17}, publisher = {mathdoc}, volume = {8}, number = {3}, year = {2008}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/ISU_2008_8_3_a1/} }
TY - JOUR AU - V. A. Yurko TI - Recovering differential operators on a~graph with a~cycle and with generalized matching conditions JO - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics PY - 2008 SP - 10 EP - 17 VL - 8 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ISU_2008_8_3_a1/ LA - ru ID - ISU_2008_8_3_a1 ER -
%0 Journal Article %A V. A. Yurko %T Recovering differential operators on a~graph with a~cycle and with generalized matching conditions %J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics %D 2008 %P 10-17 %V 8 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/ISU_2008_8_3_a1/ %G ru %F ISU_2008_8_3_a1
V. A. Yurko. Recovering differential operators on a~graph with a~cycle and with generalized matching conditions. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 8 (2008) no. 3, pp. 10-17. http://geodesic.mathdoc.fr/item/ISU_2008_8_3_a1/
[1] Marchenko V. A., Operatory Shturma–Liuvillya i ikh prilozheniya, Nauk. dumka, Kiev, 1977 | MR
[2] Levitan B. M., Obratnye zadachi Shturma–Liuvillya, Nauka, M., 1984 | MR
[3] Beals R., Deift P., Tomei C., Direct and Inverse Scattering on the Line, Math. Surveys and Monographs, 28, Amer. Math. Soc., Providence: RI, 1988 | DOI | MR | Zbl
[4] Freiling G., Yurko V. A., Inverse Sturm–Liouville Problems and their Applications, NOVA Science Publishers, N.Y., 2001 | MR | Zbl
[5] Yurko V. A., Method of Spectral Mappings in the Inverse Problem Theory, Inverse and Ill-posed Problems Series, VSP, Utrecht, 2002 | MR | Zbl
[6] Yurko V. A., Vvedenie v teoriyu obratnykh spektralnykh zadach, Fizmatlit, M., 2007 | Zbl
[7] Pokornyi Yu. V., Penkin O. M., Pryadiev V. L. i dr., Differentsialnye uravneniya na geometricheskikh grafakh, Fizmatlit, M., 2004 | Zbl
[8] Yurko V. A., “Inverse spectral problems for Sturm–Liouville operators on graphs”, Inverse Problems, 21 (2005), 1075–1086 | DOI | MR | Zbl
[9] Naimark M. A., Linear Differential Operators, 2nd ed., Nauka, M., 1969 ; English transl. of 1st ed. v. I, II, Ungar, N.Y., 1967 ; 1968 | MR | Zbl | Zbl | Zbl
[10] Bellmann R., Cooke K., Differential-difference Equations, Academic Press, N.Y., 1963 | MR
[11] Conway J. B., Functions of One Complex Variable, v. I, 2nd ed., Springer-Verlag, N.Y., 1995 | MR | Zbl
[12] Stankevich I. V., “Ob odnoi obratnoi zadache spektralnogo analiza dlya uravneniya Khilla”, Dokl. AN SSSR, 192:1 (1970), 34–37
[13] Marchenko V. A., Ostrovskii I. V., “Kharakteristika spektra operatora Khilla”, Mat. sb., 97:4 (1975), 540–606 | MR | Zbl