Certain inverse problems for differential operators of higher orders on the semiaxis

I. G. Khachatryan

Funkcionalʹnyj analiz i ego priloženiâ, Tome 17 (1983) no. 1, pp. 40-52.

Bibliographie

[1] Rapoport I.M., O nekotorykh asimptoticheskikh metodakh v teorii differentsialnykh uravnenii, Izd-vo AN USSR, Kiev, 1954 | MR

[2] Naimark M.A., Lineinye differentsialnye operatory, Nauka, M., 1969 | MR

[3] Gelfand I.M., Levitan B.M., “Ob opredelenii differentsialnogo uravneniya po ego spektralnoi funktsii”, Izv. AN SSSR, seriya matem., 15:4 (1951), 309–360 | MR | Zbl

[4] Marchenko V.A., Operatory Shturma–Liuvillya i ikh prilozheniya, Naukova dumka, Kiev, 1977 | MR

[5] Agranovich 3.S., Marchenko V.A., Obratnaya zadacha teorii rasseyaniya, Kharkov, I960

[6] Shadan K., Sabate P., Obratnye zadachi v kvantovoi teorii rasseyaniya, Mir, M., 1980 | MR

[7] Faddeev L.D., “Obratnaya zadacha kvantovoi teorii rasseyaniya”, Itogi nauki i tekhniki, seriya Sovremennye problemy matematiki, 3, VINITI, M., 1974, 93–180 | MR

[8] Marchenko V.A., “Nekotorye voprosy teorii differentsialnogo operatora vtorogo poryadka”, DAN SSSR, 72:3 (1950), 457–460 | MR | Zbl

[9] Krein M.G., “Ob opredelenii potentsiala chastitsy po ee $s$-funktsii”, DAN SSSR, 105:3 (1955), 433–436 | MR

[10] Gasymov M.G., Levitan B.M., “Opredelenie sistemy Diraka po faze rasseyaniya”, DAN SSSR, 167:6 (1966), 1219–1222 | MR | Zbl

[11] Gasymov M.G., “Obratnaya zadacha teorii rasseyaniya dlya sistemy uravnenii Diraka poryadka $2n$”, Trudy MMO, 19, 1968, 41–112 | MR | Zbl

[12] Khachatryan I.G., “O suschestvovanii operatora preobrazovaniya dlya differentsialnykh uravnenii vysshikh poryadkov, sokhranyayuschego asimptotiku reshenii”, Izv. AN Arm. SSR, seriya matem., 14:6 (1979), 424–445 | MR | Zbl

[13] Khachatryan I.G., “Ob odnoi obratnoi zadache”, DAN Arm.SSR, 70:3 (1980), 160–166 | MR | Zbl

[14] Khachatryan I.G., “O edinstvennosti vosstanovleniya differentsialnogo operatora s analiticheskimi koeffitsientami po ego spektralnoi matritse-funktsii”, DAN Arm.SSR, 71:2 (1980), 91–97 | MR | Zbl

[15] Sakhnovich L.A., “Metod operatora preobrazovaniya dlya uravnenii vysshikh poryadkov”, Matem. sb., 55 (97):3 (1961), 347–360 | Zbl

[16] Leibenzon 3.L., “Obratnaya zadacha spektralnogo analiza obyknovennykh differentsialnykh operatorov vysshikh poryadkov”, Trudy MMO, 15, 1966, 70–144 | MR

[17] Khachatryan I.G., “O vosstanovlenii differentsialnogo uravneniya po spektru”, Funkts. analiz, 10:1 (1976), 93–94 | MR | Zbl

[18] Gasymov M.G., “Edinstvennost resheniya obratnoi zadachi teorii rasseyaniya dlya odnogo klassa obyknovennykh differentsialnykh operatorov chetnogo poryadka”, DAN SSSR, 266:5 (1982), 1033–1036 | MR | Zbl