Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MMO_2012_73_1_a5, author = {V. V. Vlasov}, title = {On some classes of integro-differential equations on the half-line and related operator functions}, journal = {Trudy Moskovskogo matemati\v{c}eskogo ob\^{s}estva}, pages = {151--174}, publisher = {mathdoc}, volume = {73}, number = {1}, year = {2012}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MMO_2012_73_1_a5/} }
TY - JOUR AU - V. V. Vlasov TI - On some classes of integro-differential equations on the half-line and related operator functions JO - Trudy Moskovskogo matematičeskogo obŝestva PY - 2012 SP - 151 EP - 174 VL - 73 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MMO_2012_73_1_a5/ LA - ru ID - MMO_2012_73_1_a5 ER -
%0 Journal Article %A V. V. Vlasov %T On some classes of integro-differential equations on the half-line and related operator functions %J Trudy Moskovskogo matematičeskogo obŝestva %D 2012 %P 151-174 %V 73 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/MMO_2012_73_1_a5/ %G ru %F MMO_2012_73_1_a5
V. V. Vlasov. On some classes of integro-differential equations on the half-line and related operator functions. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 73 (2012) no. 1, pp. 151-174. http://geodesic.mathdoc.fr/item/MMO_2012_73_1_a5/
[1] Vlasov V. V., “Kratnaya minimalnost chasti sistemy kornevykh vektorov puchka M. V. Keldysha”, DAN SSSR, 263:6 (1982), 1289–1293 | Zbl
[2] Vlasov V. V., “O $k$-kratnoi minimalnosti kornevykh vektorov puchkov keldyshevskogo tipa”, Matematicheskaya fizika. AN USSR, 1982, no. 32, 80–89 | Zbl
[3] Vlasov V. V., “O razreshimosti kraevykh zadach dlya odnogo klassa integrodifferentsialnykh uravnenii na poluosi”, Differents. uravneniya, 25:9 (1989), 1589–1599
[4] Vlasov V. V., “O razreshimosti odnogo klassa funktsionalno-differentsialnykh uravnenii na poluosi i nekotorykh spektralnykh voprosakh”, DAN SSSR, 319:1 (1991), 22–26 | Zbl
[5] Vlasov V. V., “O razreshimosti i svoistvakh reshenii funktsionalno-differentsialnykh uravnenii v gilbertovom prostranstve”, Matem. sb., 186:8 (1995), 67–92 | Zbl
[6] Vlasov V. V., “O razreshimosti i otsenkakh reshenii funktsionalno-differentsialnykh uravnenii v prostranstvakh Soboleva”, Trudy MIAN, 227, 1999, 109–121 | Zbl
[7] Vlasov V. V., Medvedev D. A., “Funktsionalno-differentsialnye uravneniya v prostranstvakh Soboleva i svyazannye s nimi voprosy spektralnoi teorii”, Sovr. matem. Fund. napr., 30, 2008, 3–173
[8] Gasymov M. G., “O kratnoi polnote chasti sobstvennykh i prisoedinennykh vektorov polinomialnykh operatornykh puchkov”, Izvestiya AN Arm. SSR. Ser. matem., 6:2–3 (1971), 131–147 | Zbl
[9] Gasymov M. G., “O razreshimosti kraevykh zadach dlya odnogo klassa operatorno-differentsialnykh uravnenii”, DAN SSSR, 235:3 (1977), 505–508 | Zbl
[10] Gokhberg I. Ts., Krein M. G., “Sistemy integralnykh uravnenii na polupryamoi s yadrami, zavisyaschimi ot raznosti argumentov”, UMN, 13:2 (1958), 3–72
[11] Gokhberg I. Ts., Krein M. G., Vvedenie v teoriyu lineinykh nesamosopryazhennykh operatorov v gilbertovom prostranstve, Nauka, M., 1965
[12] Keldysh M. V., “O polnote sobstvennykh funktsii nekotorykh klassov nesamosopryazhennykh lineinykh operatorov”, UMN, 26:4 (1971), 15–41 | Zbl
[13] Lidskii V. B., “O summiruemocti ryadov po glavnym vektoram nesamosopryazhennykh operatorov”, Trudy MMO, 11, 1962, 3–35
[14] Lions Zh. L., Madzhenes E., Neodnorodnye granichnye zadachi i ikh prilozheniya, Mir, M., 1971 | Zbl
[15] Mirzoev S. S., “Dvukratnaya polnota chasti sobstvennykh i prisoedinennykh vektorov operatornykh puchkov chetvertogo poryadka”, Izvestiya AN Azerb. SSR. Ser. fiz.-tekhn. i matem., 1974, no. 6, 37–42 | Zbl
[16] Mikhlin S. G., Lineinye uravneniya v chastnykh proizvodnykh, Vysshaya shkola, M., 1977
[17] Myshkis A. D., Lineinye differentsialnye uravneniya s zapazdyvayuschim argumentom, Nauka, M., 1972 | Zbl
[18] Radzievskii G. V., “Kratnaya polnota kornevykh vektorov puchka M. V. Keldysha, vozmuschennogo analiticheskoi v kruge operator-funktsiei”, Matem. sb., 91:3 (1973), 310–335 | Zbl
[19] Radzievskii G. V., “O bazisnosti proizvodnykh tsepochek”, Izv. AN SSSR. Ser. matem., 39:5 (1975), 1182–1218
[20] Radzievskii G. V., “O polnote proizvodnykh tsepochek”, Matem. sb., 100:1 (1976), 37–58 | Zbl
[21] Radzievskii G. V., “O polnote proizvodnykh tsepochek, otvechayuschikh kraevym zadacham na poluosi”, Ukr. matem. zhurn., 31:4 (1979), 407–416
[22] Radzievskii G. V., “O bazisakh, sostoyaschikh iz proizvodnykh tsepochek, otvechayuschikh kraevym zadacham”, DAN SSSR, 251:2 (1980), 283–287
[23] Radzievskii G. V., “Asimptotika raspredeleniya kharakteristicheskikh chisel operator-funktsii, analiticheskikh v ugle”, Matem. sb., 112:3 (1980), 396–420
[24] Radzievskii G. V., “Zadacha o polnote kornevykh vektorov v spektralnoi teorii operator-funktsii”, UMN, 37:2 (1982), 81–145
[25] Shkalikov A. A., “Nekotorye voprosy teorii polinomialnykh puchkov”, UMN, 38:3 (1983), 189–190 | Zbl
[26] Shkalikov A. A., “Ellipticheskie uravneniya v gilbertovom prostranstve i spektralnye zadachi, svyazannye s nimi”, Trudy semin. im. I. G. Petrovskogo, 14, 1989, 140–224 | Zbl
[27] Shkalikov A. A., “Operatorno-differentsialnye uravneniya na poluosi i svyazannye s nimi spektralnye zadachi dlya samosopryazhennykh puchkov operatorov”, DAN SSSR, 276:2 (1984), 309–314 | Zbl
[28] Shkalikov A. A., “Operatorno-differentsialnye uravneniya na poluosi i svyazannye s nimi spektralnye zadachi dlya polinomialnykh puchkov operatorov”, UMN, 39:4 (1984), 106
[29] Stein I., Singulyarnye integraly i differentsialnye svoistva funktsii, Mir, M., 1973 | MR
[30] Agmon S., Nirenberg L., “Properties of solutions of ordinary differential equations in Banach Space”, Comm. Pure Appl. Math., 16 (1963), 121–239 | DOI | MR | Zbl
[31] Lax P. D., “Phragmén–Lindelöf theorem in harmonic analysis and its application to some questions in elliptic equations”, Comm. Pure Appl. Math., 10 (1957), 361–389 | DOI | MR | Zbl
[32] Hale J., Verduyn Lunel S. M., Introduction to functional-differential equations, Appl. Math. Studies, 99, Springer-Verlag, New York, 1993 | MR | Zbl