Voir la notice de l'article provenant de la source Math-Net.Ru
@article{IIMI_2005_31_1_a0, author = {V. I. Rodionov}, title = {Adjoint {Riemann--Stieltjes} integral on the algebra of regulated functions}, journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta}, pages = {3--78}, publisher = {mathdoc}, volume = {31}, number = {1}, year = {2005}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IIMI_2005_31_1_a0/} }
TY - JOUR AU - V. I. Rodionov TI - Adjoint Riemann--Stieltjes integral on the algebra of regulated functions JO - Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta PY - 2005 SP - 3 EP - 78 VL - 31 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IIMI_2005_31_1_a0/ LA - ru ID - IIMI_2005_31_1_a0 ER -
%0 Journal Article %A V. I. Rodionov %T Adjoint Riemann--Stieltjes integral on the algebra of regulated functions %J Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta %D 2005 %P 3-78 %V 31 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/IIMI_2005_31_1_a0/ %G ru %F IIMI_2005_31_1_a0
V. I. Rodionov. Adjoint Riemann--Stieltjes integral on the algebra of regulated functions. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 31 (2005) no. 1, pp. 3-78. http://geodesic.mathdoc.fr/item/IIMI_2005_31_1_a0/
[1] Demyshev A. S., Rodionov V. I., “O preryvistykh funktsiyakh neskolkikh peremennykh”, Tez. dokl. Ros. univ.-akad. konf., v. 2, Izhevsk, 2004, 77–78
[2] Hönig Ch. S., Volterra–Stieltjes integral equations, Mathematical Studies, 16, North-Holland, Amsterdam, 1975, 152 pp. | MR
[3] Natanson I. P., Teoriya funktsii veschestvennoi peremennoi, 3-e izd., Nauka, M., 1974, 480 pp. | MR
[4] Rodionov V. I., “O prostranstve regulyarno differentsiruemykh funktsii”, Izvestiya Instituta matematiki i informatiki UdGU. Izhevsk, 2004, no. 1(29), 3–32
[5] Kurtsveil Ya., “Ob obobschennykh obyknovennykh differentsialnykh uravneniyakh, obladayuschikh razryvnymi resheniyami”, PMM, 22:1 (1958), 27–45
[6] Rodionov V. I., “Kvaziintegralnye uravneniya v prostranstve preryvistykh funktsii”, Izvestiya Instituta matematiki i informatiki UdGU. Izhevsk, 1997, no. 2(10), 3–51
[7] Rodionov V. I., “Kvaziintegraly”, Differents. uravneniya, 36:6 (2000), 859
[8] Hildebrandt T. H., Introduction to the theory of integration, Academic Press, N.Y.–L., 1963, 385 pp. | MR
[9] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, 5-e izd., Nauka, M., 1981, 544 pp. | MR
[10] Rudin U., Funktsionalnyi analiz, Mir, M., 1975, 448 pp. | MR
[11] Tvrdý M., “Regulated functions and the Perron–Stieltjes integral”, Casopis pest. mat., 1989, no. 114, 187–209 | MR | Zbl
[12] L. A. Skornyakov (red.), Obschaya algebra, v. 1, Nauka, M., 1990, 592 pp. | Zbl
[13] Van der Varden B. L., Algebra, Nauka, M., 1976, 648 pp. | MR
[14] Fikhtengolts G. M., Kurs differentsialnogo i integralnogo ischisleniya, v. 3, 5-e izd., Nauka, M., 1969, 656 pp.
[15] Zavalischin S. T., Sesekin A. N., Impulsnye protsessy: Modeli i prilozheniya, Nauka, M., 1991, 256 pp. | MR
[16] Samoilenko A. M., Perestyuk N. A., Differentsialnye uravneniya s impulsnym vozdeistviem, Vischa shkola, Kiev, 1987, 288 pp.
[17] Boyarintsev Yu. E., Regulyarnye i singulyarnye sistemy lineinykh obyknovennykh differentsialnykh uravnenii, Nauka, Novosibirsk, 1980, 224 pp. | MR | Zbl
[18] Azbelev N. V., Maksimov V. P., Rakhmatullina L. F., Vvedenie v teoriyu funktsionalno-differentsialnykh uravnenii, Nauka, M., 1991, 280 pp. | MR | Zbl
[19] Azbelev N. V., Maksimov V. P., Rakhmatullina L. F., Elementy sovremennoi teorii funktsionalno-differentsialnykh uravnenii. Metody i prilozheniya, ANO «Institut kompyuternykh issledovanii», M., 2002, 384 pp.
[20] Rodionov V. I., “Ob uravneniyakh so slabym operatorom”, Tez. dokl. Ros. univ.-akad. konf., v. 2, Izhevsk, 2004, 88–90
[21] Filippov A. F., Differentsialnye uravneniya s razryvnoi pravoi chastyu, Nauka, M., 1985, 224 pp. | MR