К~постановке и обоснованию корректности начальной краевой задачи для одного класса нелокальных вырождающихся уравнений гиперболического типа
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 43 (2006), pp. 44-51.

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A. A. Andreev; E. N. Ogorodnikov. К~постановке и обоснованию корректности начальной краевой задачи для одного класса нелокальных вырождающихся уравнений гиперболического типа. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 43 (2006), pp. 44-51. http://geodesic.mathdoc.fr/item/VSGTU_2006_43_a7/

[1] Nakhushev A. M., Uravneniya matematicheskoi biologii, Vyssh. shk., M., 1995 | Zbl

[2] Carleman T., “Sur la theorie des equations integrales et ses applications”, Verhandl. des Internat. Mathem. Kongr., V. I, Zurich, 1932, 138–151

[3] Andreev A. A., “O korrektnosti nachalnykh zadach dlya nekotorykh uravnenii v chastnykh proizvodnykh s otklonyayuschimsya argumentom”, Uravneniya neklassicheskogo tipa, IM SOAN SSSR, Novosibirsk, 1986, 10–14

[4] Andreev A. A., “O korrektnosti kraevykh zadach dlya nekotorykh uravnenii v chastnykh proizvodnykh s karlemanovskim sdvigom”, Differentsialnye uravneniya i ikh prilozheniya, Tr. II mezhdunarod. seminara, Sam. un-t, Samara, 1998, 5–18

[5] Andreev A. A., Ogorodnikov E. N., “O korrektnosti nachalnykh kraevykh zadach dlya odnogo giperbolicheskogo urav- neniya s vyrozhdeniem poryadka i involyutivnym otkloneniem”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 9 (2000), 32–36 | DOI

[6] Andreev A. A., “Ob analogakh klassicheskikh kraevykh zadach dlya odnogo differentsialnogo uravneniya vtorogo poryadka s otklonyayuschimsya argumentom”, Differents. uravneniya, 40:5 (2004), 1126–1128 | MR | Zbl

[7] Andreev A. A., Saushkin I. N., “Ob analoge zadachi Trikomi dlya odnogo modelnogo uravneniya s involyutivnym otkloneniem v beskonechnoi oblasti”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 34 (2005), 10–16 | DOI

[8] Smirnov M. M., Uravneniya smeshannogo tipa, Vyssh. shk., M., 1985 | MR | Zbl

[9] Protter M. N., “The Cauchy problem for a hyperbolic second order equation”, Can. J. Math., 6 (1954), 542–553 | DOI | MR | Zbl

[10] Bitsadze A. V., Nekotorye klassy uravnenii v chastnykh proizvodnykh, Nauka, M., 1981 | MR

[11] Gellerstedt S., “Sur une equation lineare aux derivees partielles de type mixte”, Arkiv. Mat., Asrt. och Fysik, 29:25 (1937), 1–23 | Zbl

[12] Andreev A. A., “O nekotorykh prilozheniyakh assotsiirovannykh gipergeometricheskikh funktsii”, Differents. uravneniya (matematicheskaya fizika), Materialy Kuib. obl. mezhvuz. nauch. Soveschaniya-seminara. Vyp. 12, Kuibyshev, 1984, 8–9

[13] Andreev A. A., Ogorodnikov E. N., “Matrichnye integrodifferentsialnye operatory i ikh priminenie”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 7 (1999), 27–37 | DOI | MR

[14] Gantmakher F. R., Teoriya matrits, Nauka, M., 1967 | MR

[15] Andreev A. A., Senitskii A. Yu., “O zadache Koshi dlya sistemy vyrozhdayuschikhsya uravnenii tipa Lykova”, Neklassicheskie differentsialnye uravneniya v chastnykh proizvodnykh, IM SOAN SSSR, Novosibirsk, 1988, 105–107

[16] Andreev A. A., Kilbas A. A., “O nekotorykh assotsiirovannykh gipergeometricheskikh funktsiyakh”, Izv. vuzov. Matem., 1984, no. 12, 3–12 | MR | Zbl

[17] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii. T. 1. Gipergeometricheskaya funktsiya. Funktsii Lezhandra, Nauka, M., 1973

[18] Bitsadze A. V., “K teorii odnogo klassa uravnenii smeshannogo tipa”, Nekotorye problemy matematiki i mekhaniki, Nauka, L. otd., L., 1970, 112–119

[19] Andreev A. A., Ogorodnikov E. N., “O korrektnosti zadach Koshi–Gursa dlya giperbolicheskogo uravneniya s vyrozhdeniem poryadka i involyutivnym otkloneniem v odnom spetsialnom sluchae”, Matematicheskoe modelirovanie, statistika i informatika v sovremennom upravlenii ekonomikoi, Tr. medzhdunarod. konf., SamGEA, Samara, 2001, 199–202

[20] Ogorodnikov E. N., “Korrektnost zadachi Koshi–Gursa dlya sistemy vyrozhdayuschikhsya nagruzhennykh giperbolicheskikh uravnenii v nekotorykh spetsialnykh sluchayakh i ee ravnosilnost zadacham s nelokalnymi kraevymi usloviyami”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 26 (2004), 26–38 | DOI

[21] Andreev A. A., “Zadacha Koshi dlya nekotorykh vyrozhdayuschikhsya giperbolicheskikh sistem vtorogo i chetvertogo poryadkov”, Differents. i integral. uravneniya, KGPI, Kuibyshev, 1987, 46–57