A nonlinear Volterra equation in a Banach function space
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2005), pp. 17-28.

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E. S. Zhukovskii. A nonlinear Volterra equation in a Banach function space. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2005), pp. 17-28. http://geodesic.mathdoc.fr/item/IVM_2005_10_a2/

[1] Matematicheskaya entsiklopediya, T. 1, Sovetskaya entsiklopediya, M., 1977, 1152 pp.

[2] Azbelev N.V., Maksimov V.P., Rakhmatullina L.F., Vvedenie v teoriyu funktsionalno-differentsialnykh uravnenii, Nauka, M., 1991, 280 pp. | MR | Zbl

[3] Azbelev N.V., Maksimov V.P., Rakhmatullina L.F., Elementy sovremennoi teorii funktsionalno-differentsialnykh uravnenii. Metody i prilozheniya, Institut kompyuternykh issledovanii, M., 2002, 384 pp.

[4] Azbelev N.V., Simonov P.M., Ustoichivost reshenii uravnenii s obyknovennymi proizvodnymi, Izd-vo Perm. un-ta, Perm, 2001, 230 pp.

[5] Tikhonov A.N., “O funktsionalnykh uravneniyakh tipa Volterra i ikh primeneniyakh k nekotorym zadacham matematicheskoi fiziki”, Byull. Mosk. un-ta. Sekts. A, 1:8 (1938), 1–25 | MR | Zbl

[6] Brodskii M.S., Treugolnye i zhordanovy predstavleniya lineinykh operatorov, Nauka, M., 1969, 364 pp. | MR

[7] Bukhgeim A.L., Uravneniya Volterra i obratnye zadachi, Nauka, Novosibirsk, 1983, 208 pp. | MR

[8] Gokhberg I.Ts., Krein M.G., Teoriya volterrovykh operatorov v gilbertovom prostranstve i ee prilozheniya, Nauka, M., 1967, 508 pp. | MR

[9] Gusarenko S.A., “Ob odnom obobschenii ponyatiya volterrova operatora”, DAN SSSR, 295:5 (1987), 1046–1049 | MR | Zbl

[10] Zhukovskii E.S., “K teorii uravnenii Volterra”, Differents. uravneniya, 25:9 (1989), 1599–1605 | MR

[11] Zhukovskii E.S., “Volterrovost i spektralnye svoistva operatora vnutrennei superpozitsii”, Differents. uravneniya, 30:2 (1994), 147–149 | MR

[12] Zhukovskii E.S., Lineinye evolyutsionnye funktsionalno-differentsialnye uravneniya v banakhovom prostranstve, Izd-vo Tambovsk. un-ta, Tambov, 2003, 148 pp.

[13] Kurbatov V.G., Lineinye differentsialno-raznostnye uravneniya, Izd-vo Voronezhsk. un-ta, Voronezh, 1990, 168 pp. | MR | Zbl

[14] Livshits M.S., “O spektralnom razlozhenii lineinykh nesamosopryazhennykh operatorov”, Matem. sb., 34:1 (1954), 145–199 | MR

[15] Sumin V.I., “Funktsionalno-operatornye volterrovy uravneniya v teorii optimalnogo upravleniya raspredelennymi sistemami”, DAN SSSR, 305:5 (1989), 1056–1059 | MR | Zbl

[16] Kamke E., Spravochnik po obyknovennym differentsialnym uravneniyam, Nauka, M., 1976, 576 pp. | MR

[17] Zhukovskii E.S., “O parametricheskom zadanii resheniya differentsialnogo uravneniya i ego priblizhennom postroenii”, Izv. vuzov. Matematika, 1996, no. 4, 31–34 | MR | Zbl

[18] Bulgakov A.I., Elementy teorii kraevykh zadach dlya funktsionalno-differentsialnykh vklyuchenii, Diss. ... dokt. fiz.-matem. nauk, Tambovskii institut khimicheskogo mashinostroeniya, Tambov, 1993, 300 pp.

[19] Artstein Z., “Continuous dependence of solutions of operator equations”, Trans. Amer. Math. Soc., 231:1 (1977), 143–166 | DOI | MR | Zbl

[20] Maksimov V.P., “O predelnom perekhode v kraevykh zadachakh dlya funktsionalno-differentsialnykh uravnenii”, Differents. uravneniya, 17:11 (1981), 1984–1994 | MR | Zbl

[21] Gusarenko S.A., Zhukovskii E.S., Maksimov V.P., “K teorii funktsionalno-differentsialnykh uravnenii s lokalno volterrovymi operatorami”, DAN SSSR, 287:2 (1986), 268–272 | MR | Zbl

[22] Zhukovskii E.S., “Ob integralnykh neravenstvakh v prostranstvakh summiruemykh funktsii”, Differents. uravneniya, 18:4 (1982), 580–584 | MR | Zbl