@article{IVM_2004_6_a6,
author = {I. V. Sapronov},
title = {On a class of solutions of a {Volterra} equation of the second kind with a regular singularity in a {Banach} space},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {48--58},
year = {2004},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2004_6_a6/}
}
TY - JOUR AU - I. V. Sapronov TI - On a class of solutions of a Volterra equation of the second kind with a regular singularity in a Banach space JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2004 SP - 48 EP - 58 IS - 6 UR - http://geodesic.mathdoc.fr/item/IVM_2004_6_a6/ LA - ru ID - IVM_2004_6_a6 ER -
I. V. Sapronov. On a class of solutions of a Volterra equation of the second kind with a regular singularity in a Banach space. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2004), pp. 48-58. http://geodesic.mathdoc.fr/item/IVM_2004_6_a6/
[1] Sato T., “Sur l'equation integrale $xu(x)=f(x)+\int^x_0 K(x,t,u(t))\,dt$”, J. Math. Soc. Japan, 5:2 (1953), 145–153 | MR | Zbl
[2] Takesada T., “On the singular point of integral equations of Volterra type”, J. Math. Soc. Japan, 7:2 (1955), 123–136 | MR | Zbl
[3] Panov L. I., “Ob integralnykh uravneniyakh s yadrami, imeyuschimi neintegriruemuyu osobennost proizvolnogo poryadka”, DAN TadzhSSR, 10:6 (1967), 3–7 | MR
[4] Magnitskii N. A., “O suschestvovanii mnogoparametricheskikh semeistv reshenii integralnogo uravneniya Volterra I-go roda”, DAH SSSR, 235:4 (1977), 772–774 | MR
[5] Magnitskii N. A., “Mnogoparametricheskie semeistva reshenii integralnykh uravnenii Volterra”, DAH SSSR, 240:2 (1978), 268–271 | MR
[6] Magnitskii N. A., “Lineinye integralnye uravneniya Volterra I i III roda”, Zhurn. vychisl. matem. i matem. fiz., 19:4 (1979), 970–988 | MR
[7] Krein S. G., Sapronov I. V., “O polnote sistemy reshenii integralnogo uravneniya Volterra s osobennostyu”, Dokl. RAN, 355:4 (1997), 450–452 | MR | Zbl
[8] Krein S. G., Sapronov I. V., “Ob integralnykh uravneniyakh Volterra s osobennostyami”, UMN, 50:4 (1995), 140
[9] Krein S. G., “Singular integral Volterra equations”, Abstracts. Intern. Congress of Math. (Zurich, 3–11 August), 1994, 125
[10] Krein S. G., Sapronov I. V., “One class of solutions of Volterra equation with regular singularity”, Ukr. matem. zhurn., 49:3 (1997), 424–432 | MR | Zbl