@article{ZVMMF_2011_51_9_a7,
author = {M. V. Bulatov and E. V. Chistyakova},
title = {On a~family of singular integro-differential equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1665--1673},
year = {2011},
volume = {51},
number = {9},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_9_a7/}
}
TY - JOUR AU - M. V. Bulatov AU - E. V. Chistyakova TI - On a family of singular integro-differential equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2011 SP - 1665 EP - 1673 VL - 51 IS - 9 UR - http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_9_a7/ LA - ru ID - ZVMMF_2011_51_9_a7 ER -
M. V. Bulatov; E. V. Chistyakova. On a family of singular integro-differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 9, pp. 1665-1673. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_9_a7/
[1] Balyshev O. A., Tairov E. A., Analiz perekhodnykh i statsionarnykh protsessov v truboprovodnykh sistemakh (teoreticheskie i eksperimentalnye aspekty, Nauka, SO RAN, Novosibirsk, 1998
[2] Vlakh I., Singkhal K., Mashinnye metody analiza i proektirovaniya elektronnykh skhem, Radio i svyaz, M., 1988
[3] Ushakov E. I., Staticheskaya ustoichivost elektricheskikh sistem, Nauka, Novosibirsk, 1988 | Zbl
[4] Gorbunov V. K., Petrischev V. V., Sviridov V. Y., “Development of the normal spilne method for linear integrodifferential equations”, Proc. ICCS-2003, Part II, Springer, Berlin, 2003
[5] Dmitriev S. S., Kuznetsov E. B., “Chislennoe reshenie sistem integrodifferentsialno-algebraicheskikh uravnenii s zapazdyvayuschim argumentom”, Zh. vychisl. matem. i matem. fiz., 48:3 (2008), 430–444 | MR | Zbl
[6] Kauthen J.-P., “Implicit Runge-Kutta methods for some integro-differential algebraic equations”, Appl. Numer. Math., 13 (1995), 125–134 | DOI | MR
[7] Brunner H., Collocation methods for Volterra integral and related functional differential equations, Cambridge Univ. Press, Cambridge, 2004 | MR
[8] Bulatov M. V., “Ob integrodifferentsialnykh sistemakh s vyrozhdennoi matritsei pered proizvodnoi”, Differents. ur-niya, 38:5 (2002), 692–697 | MR | Zbl
[9] Bulatov M. V., Chistyakova E. V., “Chislennoe reshenie integrodifferentsialnykh sistem s vyrozhdennoi matritsei pered proizvodnoi mnogoshagovymi metodami”, Differents. ur-niya, 42:9 (2006), 1248–1255 | MR | Zbl
[10] Chistyakova E. V., “O svoistvakh raznostnykh skhem dlya vyrozhdennykh integrodifferentsialnykh uravneniyakh indeksa 1”, Zh. vychisl. matem. i matem. fiz., 49:9 (2009), 1579–1588 | MR | Zbl
[11] Bulatov M. V., “Ob odnom semeistve matrichnykh troek”, Lyapunovskie chteniya i prezentatsiya informatsionnykh tekhnologii, IDSTU SO RAN, Irkutsk, 2002, 10
[12] Bulatov M. V., Li M. G., “Primenenie matrichnykh polinomov k issledovaniyu lineinykh differentsialno-algebraicheskikh uravnenii vysokogo poryadka”, Differents. ur-niya, 44:10 (2008), 1299–1305 | MR | Zbl
[13] Mysovskikh I. P., Lektsii po metodam vychislenii, Fizmatgiz, M., 1962
[14] Apartsin A. S., Neklassicheskie uravneniya Volterra I roda: teoriya i chislennye metody, Nauka, SO RAN, Novosibirsk, 1999
[15] Chistyakov V. F., Algebro-differentsialnye operatory s konechnomernym yadrom, Nauka, SO RAN, Novosibirsk, 1996 | MR
[16] Bulatov M. V., Koshkareva L. V., “Numerical solution of singular integral equations”, Int. J. of Information and Systems Sci., 4:2 (2008), 251–255 | MR | Zbl
[17] Bulatov M. V., “O regulyarizatsii vyrozhdennykh integrodifferentsialnykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 42:11 (2002), 1666–1672 | MR | Zbl
[18] Brunner H., van der Houwen P. J., The numerical solution of Volterra equations, CWI Monographs, 3, North-Holland Publishing Co., Amsterdam, 1986, 588 pp. | MR | Zbl