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@article{VSGTU_1999_7_a2, author = {A. A. Andreev and E. N. Ogorodnikov}, title = {Matrix integro-differential operators and their application}, journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences}, pages = {27--37}, publisher = {mathdoc}, number = {7}, year = {1999}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/VSGTU_1999_7_a2/} }
TY - JOUR AU - A. A. Andreev AU - E. N. Ogorodnikov TI - Matrix integro-differential operators and their application JO - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences PY - 1999 SP - 27 EP - 37 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VSGTU_1999_7_a2/ LA - ru ID - VSGTU_1999_7_a2 ER -
%0 Journal Article %A A. A. Andreev %A E. N. Ogorodnikov %T Matrix integro-differential operators and their application %J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences %D 1999 %P 27-37 %N 7 %I mathdoc %U http://geodesic.mathdoc.fr/item/VSGTU_1999_7_a2/ %G ru %F VSGTU_1999_7_a2
A. A. Andreev; E. N. Ogorodnikov. Matrix integro-differential operators and their application. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 7 (1999), pp. 27-37. http://geodesic.mathdoc.fr/item/VSGTU_1999_7_a2/
[1] Samko S. G., Kilbas A. A., Marichev O. I., Integraly i proizvodnye drobnogo poryadka i nekotorye ikh prilozheniya, Nauka i tekhnika, Minsk, 1987 | MR | Zbl
[2] Oldham K. B., Spanier J., The fractional calculus, Acad. Press, NY–London, 1974 | MR | Zbl
[3] Rabotnov Yu. N., Elementy nasledstvennoi mekhaniki tverdykh tel, Nauka, M., 1977 | MR
[4] Nigmatullin R. R., “The realization of the generalized transfer equation in a medium with the fractal geometry”, Phis. Stst. Sol. (b), 133 (1986)
[5] Nakhushev A. M., Ob uravneniyakh sostoyaniya nepreryvnykh odnomernykh sistem i ikh prilozheniyakh, Logos, Nalchik–Maikop, 1995
[6] Nakhushev A. M., Uravneniya matematicheskoi biologii, Vyssh. shkola, M., 1995 | Zbl
[7] Andreev A. A., Kraevye zadachi dlya uravnenii matematicheskoi fiziki, Kuibysh. ped. in-t, Kuibyshev, 1990, 3–6
[8] Andreev A. A., “Ob odnom obobschenii operatorov drobnogo integrodifferentsirovaniya i ego prilozheniyakh”, Integralnye uravneniya i kraevye zadachi matematicheskoi fiziki, Mat. Vsesoyuz. konf., Vladivostok, 1990, 91
[9] Samko S. G., “O svedenii nekotorykh ingegralnykh uravnenii pervogo roda teorii uprugosti i gidrodinamiki k uravneniyam vtorogo roda”, Prikl. mat. i mekh., 31:2 (1967), 343–345 | MR | Zbl
[10] Lowengrub M., “Systems of Abel type equations”, Function theoretic methods in defferencial equations, eds. R. P. Gilbert, R. J. Weinacht, Pitman Publ., 1976, 277–296 | MR
[11] Lowengrub M., Walton J., “Systems of generalized Abel equations”, SIAM J. Math. Anal., 10:4 (1979), 794–807 | DOI | MR | Zbl
[12] Walton J., “Systems of generalized Abel integral equations with applications to simultaneous dual relations”, SIAM J. Math. Anal., 10:4 (1979), 808–822 | DOI | MR | Zbl
[13] Beitman G., Erdein A., Vysshie transtsendentnye funktsii. T. 1. Gipergeomegricheskaya funktsiya. Funktsii Lezhandra, Nauka, M., 1973
[14] Kilbas A. A., “Stepenno-logarifmicheskie integraly v prostranstvakh gelderovskikh funktsii”, Izv. AN BSSR. Ser. fiz.-mat. nauk, 1975, no. 1, 37–43 | MR | Zbl
[15] Saigo M., “A remark on integral operators involving the Gauss hypergeometric functions”, Math. Rep. Kyushu Univ., 11:2 (1978), 135–143 | MR | Zbl
[16] Saigo M., “A certain boundary value problem for the Euler–Darboux equation”, Math. Japon, 24:4 (1979), 377–385 | MR | Zbl
[17] Repin O. A., Kraevye zadachi so smescheniem dlya uravnenii giperbolicheskogo i smeshannogo tipov, Sarat. un-t. Samar. filial, Samara, 1992 | MR | Zbl
[18] Gantmakher F. R., Teoriya matrits, Nauka, M., 1967 | MR
[19] Lankaster P., Teoriya matrits, Nauka, M., 1978 | MR
[20] Bellman R., Vvedenie v teoriyu matrits, Nauka, M., 1969 | MR | Zbl
[21] Lappo-Danilevskii I. A., Primenenie funktsii ot matrits k teorii lineinykh sistem obyknovennykh differentsialnykh uravnenii, Nauka, M., 1957
[22] Andreev A. A., Postroenie elementarnykh reshenii i reshenie zadachi Koshi dlya uravnenii i sistem uravnenii giperbolicheskogo tipa, Dis.$\dots$ kand. fiz.-mat. nauk, Kuibyshev, 1981 | MR
[23] Andreev A. A., Kilbas A. A., “O resheniyakh neodnorodnogo gipergeometricheskogo uravneniya i vychislenii integralov”, Dokl. AN BSSR, 27:6 (1983), 493–496 | MR | Zbl
[24] Andreev A. A., Kilbas A. A., “O nekotorykh assotsiirovannykh gipergeometricheskikh funktsiyakh”, Izv. vuzov. Ser. mat., 1984, no. 12, 3–12 | Zbl
[25] Andreev A. A., “O nekotorykh prilozheniyakh assotsiirovannykh gipergeometricheskikh funktsii”, Differ. uravneniya (matematicheskaya fizika), Mat. Kuibysh. obl. mezhvuz. nauch. sovesch.-sem., no. 12, Kuibyshev, 1984, 8–9
[26] Ogorodnikov E. N., “O nelokalnoi kraevoi zadache dlya odnoi modelnoi vyrozhdayuscheisya sistemy giperbolicheskogo tipa”, Neklass. uravn. mat. fiziki, IM SOAN SSSR, Novosibirsk, 1988, 150–151 | MR
[27] Andreev A. A., Ogorodnikov E. N., “O nekotorykh nelokalnykh kraevykh zadachakh dlya odnoi modelnoi vyrozhdayuscheisya sistemy giperbolicheskogo tipa”, Lineinye operatory v funktsionalnykh prostranstvakh, Mat. region. konf., Chechen.-ingush. un-t, Groznyi, 1989, 23–24
[28] Andreev A. A., Ogorodnikov E. N., “Nelokalnye kraevye zadachi dlya vyrozhdayuscheisya sistemy i integralnye uravneniya tretego roda”, Integralnye uravneniya i kraevye zadachi matematicheskoi fiziki, Mat. Vsesoyuz. konf., Vladivostok, 1990, 97
[29] Andreev A. A., Linkov A. V., “Nelokalnye kraevye zadachi dlya modelnoi vyrozhdayuscheisya sistemy differentsialnykh uravnenii”, Differentsialnye uravneniya i ikh primeneniya, Mat. mezhdunar. konf., MGU, Saransk, 1994, 41
[30] Ogorodnikov E. N., “Dve nelokalnye kraevye zadachi dlya vyrozhdayuscheisya sistemy giperbolicheskogo tipa”, Matematicheskoe modelirovanie i kraevye zadachi, Tr. pyatoi mezhvuz. konf., Samar. tekhn. un-t, Samara, 1995, 81–82
[31] Ogorodnikov E. N., “Kraevye zadachi so smescheniem dlya vyrozhdayuscheisya sistemy giperbolicheskogo tipa”, Matematicheskoe modelirovanie i kraevye zadachi, Tr. shestoi mezhvuz. konf., Samar. tekhn. un-t, Samara, 1996, 75–77
[32] Ogorodnikov E. N., “Ob odnoi nelokalnoi kraevoi zadache dlya vyrozhdayuscheisya sistemy giperbolicheskogo tipa”, Matematicheskoe modelirovanie i kraevye zadachi, Tr. sedmoi mezhvuz. konf., Samar. tekhn. un-t, Samara, 1997, 60–65
[33] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1986
[34] Smirnov M. M., Uravneniya smeshannogo tipa, Nauka, M., 1970 | MR
[35] Zeilon N., “Sur quelque points de la theorie de I'equation integrate d'Abel”, Arkiv. for Mat., Astr. och Fysik, 8:5 (1924), 1–19
[36] Vasilev I. L., “O edinstvennosti resheniya sistemy uravnenii Abelya s postoyannymi koeffitsientami”, Dokl. AN BSSR, 25:2 (1981), 105–107 | MR
[37] Vasilev I. L., “Sistemy integralnykh uravnenii s yadrom Abelya na otrezke veschestvennoi osi”, Izv. AN BSSR. Ser. mat.-fiz. nauk, 1982, no. 2, 47–53