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@article{TRSPY_2006_255_a20, author = {V. A. Yurko}, title = {On {Recovering} {Differential} {Systems} on {a~Finite} {Interval} from {Spectra}}, journal = {Informatics and Automation}, pages = {273--287}, publisher = {mathdoc}, volume = {255}, year = {2006}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/TRSPY_2006_255_a20/} }
V. A. Yurko. On Recovering Differential Systems on a~Finite Interval from Spectra. Informatics and Automation, Function spaces, approximation theory, and nonlinear analysis, Tome 255 (2006), pp. 273-287. http://geodesic.mathdoc.fr/item/TRSPY_2006_255_a20/
[1] Yurko V., Method of spectral mappings in the inverse problem theory, Inverse and Ill-Posed Probl. Ser., VSP, Utrecht, 2002 | MR | Zbl
[2] Yurko V.A., Inverse spectral problems for differential operators and their applications, Gordon and Breach, Amsterdam, 2000 | MR | Zbl
[3] Yurko V.A., Obratnye spektralnye zadachi i ikh prilozheniya, Izd-vo Saratov. ped. in-ta, Saratov, 2001
[4] Levitan B.M., Sargsyan I.S., Operatory Shturma–Liuvillya i Diraka, Nauka, M., 1988 | MR | Zbl
[5] Marchenko V.A., Operatory Shturma–Liuvillya i ikh prilozheniya, Nauk. dumka, Kiev, 1977 | MR
[6] Levitan B.M., Obratnye zadachi Shturma–Liuvillya, Nauka, M., 1984 | MR
[7] Freiling G., Yurko V.A., Inverse Sturm–Liouville problems and their applications, Nova Sci. Publ., Huntington (NY), 2001 | MR | Zbl
[8] Shabat A.B., “Obratnaya zadacha rasseyaniya”, Dif. uravneniya, 15:10 (1979), 1824–1834 | MR | Zbl
[9] Yurko V.A., “Obratnaya zadacha dlya sistem differentsialnykh uravnenii s nelineinoi zavisimostyu ot spektralnogo parametra”, Dif. uravneniya, 33:3 (1997), 390–395 | MR | Zbl
[10] Malamud M.M., “Voprosy edinstvennosti v obratnykh zadachakh dlya sistem differentsialnykh uravnenii na konechnom intervale”, Tr. Mosk. mat. o-va, 60 (1999), 199–258 | MR | Zbl
[11] Sakhnovich L.A., Spectral theory of canonical differential systems. Method of operator identities, Operator Theory: Adv. and Appl., 107, Birkhäuser, Basel, 1999 | MR | Zbl
[12] Beals R., Coifman R.R., “Scattering and inverse scattering for first order systems”, Commun. Pure and Appl. Math., 37 (1984), 39–90 | DOI | MR | Zbl
[13] Yurko V.A., “Obratnaya spektralnaya zadacha dlya singulyarnykh nesamosopryazhennykh differentsialnykh sistem”, Mat. sb., 195:12 (2004), 123–156 | MR | Zbl
[14] Yurko V.A., “Obratnaya zadacha dlya differentsialnykh sistem na konechnom intervale v sluchae kratnykh kornei kharakteristicheskogo uravneniya”, Dif. uravneniya, 41:6 (2005), 781–786 | MR | Zbl
[15] Tamarkin Ya.D., O nekotorykh obschikh zadachakh teorii obyknovennykh lineinykh differentsialnykh uravnenii, Petrograd, 1917 | Zbl
[16] Rasulov M.L., Metod konturnogo integrala, Nauka, M., 1964 | MR | Zbl
[17] Vagabov A.I., “Ob utochnenii odnoi asimptoticheskoi teoremy Tamarkina”, Dif. uravneniya, 29:1 (1993), 41–49 | MR | Zbl
[18] Rykhlov V.S., “Asymptotical formulas for solutions of linear differential systems of the first order”, Results Math., 36:3–4 (1999), 342–353 | MR | Zbl
[19] Bellmann R., Cooke K., Differential–difference equations, Acad. Press, New York, 1963 | MR