A class of singular integro-differential equations
The Bulletin of Irkutsk State University. Series Mathematics, Tome 6 (2013) no. 1, pp. 14-19
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In this paper the systems of integro-differential equations of Volterra type with identical singular matrix at the derivative are considered. For these systems, with the given initial conditions, conditions of existence of a unique continuously differentiable solution are given.
Keywords:
integro-differential equations; matrix polynomials.
@article{IIGUM_2013_6_1_a1,
author = {M. V. Bulatov and Do Tien Thanh},
title = {A class of singular integro-differential equations},
journal = {The Bulletin of Irkutsk State University. Series Mathematics},
pages = {14--19},
year = {2013},
volume = {6},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IIGUM_2013_6_1_a1/}
}
TY - JOUR AU - M. V. Bulatov AU - Do Tien Thanh TI - A class of singular integro-differential equations JO - The Bulletin of Irkutsk State University. Series Mathematics PY - 2013 SP - 14 EP - 19 VL - 6 IS - 1 UR - http://geodesic.mathdoc.fr/item/IIGUM_2013_6_1_a1/ LA - ru ID - IIGUM_2013_6_1_a1 ER -
M. V. Bulatov; Do Tien Thanh. A class of singular integro-differential equations. The Bulletin of Irkutsk State University. Series Mathematics, Tome 6 (2013) no. 1, pp. 14-19. http://geodesic.mathdoc.fr/item/IIGUM_2013_6_1_a1/
[1] Yu. E. Boyarintsev, Regulyarnye i singulyarnye sistemy lineinykh obyknovennykh differentsialnykh uravnenii, Nauka, Novosibirsk, 1980, 222 pp. | MR | Zbl
[2] M. V. Bulatov, E. V. Chistyakova, “Ob odnom semeistve vyrozhdennykh integro-differentsialnykh uravnenii”, Zhurn. vychisl. matematiki i mat. fiziki, 51:9 (2011), 1665–1673 | MR | Zbl
[3] M. V. Bulatov, Ming-Gong Li, “Primenenie matrichnykh polinomov k issledovaniyu lineinykh differentsialno-algebraicheskikh uravnenii vysokogo poryadka”, Differents. uravneniya, 44:10 (2008), 1299–1306 | MR
[4] V. F. Chistyakov, Algebro-differentsialnye operatory s konechnomernym yadrom, Nauka. Sib. izd. firma, Novosibirsk, 1996 | MR